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151215134200 = 235213132144027
BaseRepresentation
bin1000110011010100011…
…1111101010111111000
3112110022102221201121221
42030311013331113320
54434142033243300
6153244533041424
713632152301364
oct2146507752770
9473272851557
10151215134200
1159148001499
1225381786274
131134b242390
147466d002a4
153e0060931a
hex23351fd5f8

151215134200 has 96 divisors (see below), whose sum is σ = 378914654160. Its totient is φ = 55789747200.

The previous prime is 151215134141. The next prime is 151215134201. The reversal of 151215134200 is 2431512151.

It is a super-2 number, since 2×1512151342002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151215134201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3412587 + ... + 3456613.

Almost surely, 2151215134200 is an apocalyptic number.

151215134200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151215134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189457327080).

151215134200 is an abundant number, since it is smaller than the sum of its proper divisors (227699519960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151215134200 is a wasteful number, since it uses less digits than its factorization.

151215134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45377 (or 45368 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 151215134200 its reverse (2431512151), we get a palindrome (153646646351).

The spelling of 151215134200 in words is "one hundred fifty-one billion, two hundred fifteen million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1321 2600 2642 5284 6605 10568 13210 17173 26420 33025 34346 44027 52840 66050 68692 85865 88054 132100 137384 171730 176108 220135 264200 343460 352216 429325 440270 572351 686920 858650 880540 1100675 1144702 1717300 1761080 2201350 2289404 2861755 3434600 4402700 4578808 5723510 8805400 11447020 14308775 22894040 28617550 57235100 58159667 114470200 116319334 232638668 290798335 465277336 581596670 756075671 1163193340 1453991675 1512151342 2326386680 2907983350 3024302684 3780378355 5815966700 6048605368 7560756710 11631933400 15121513420 18901891775 30243026840 37803783550 75607567100 151215134200