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151050132 = 223237151751
BaseRepresentation
bin10010000000011…
…01011110010100
3101112020010211100
421000031132110
5302132101012
622553310100
73512622252
oct1100153624
9345203740
10151050132
117829a222
1242705330
13253a8b9c
14160bd5d2
15d3da8dc
hex900d794

151050132 has 72 divisors (see below), whose sum is σ = 395263232. Its totient is φ = 48600000.

The previous prime is 151050127. The next prime is 151050149. The reversal of 151050132 is 231050151.

It is a super-2 number, since 2×1510501322 = 45632284754434848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200757 + ... + 201507.

Almost surely, 2151050132 is an apocalyptic number.

151050132 is a gapful number since it is divisible by the number (12) 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 151050132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197631616).

151050132 is an abundant number, since it is smaller than the sum of its proper divisors (244213100).

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

151050132 is a wasteful number, since it uses less digits than its factorization.

151050132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 151050132 is about 12290.2454003165. The cubic root of 151050132 is about 532.5663264602.

The spelling of 151050132 in words is "one hundred fifty-one million, fifty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 151 222 302 333 444 453 604 666 751 906 1332 1359 1502 1812 2253 2718 3004 4506 5436 5587 6759 9012 11174 13518 16761 22348 27036 27787 33522 50283 55574 67044 83361 100566 111148 113401 166722 201132 226802 250083 333444 340203 453604 500166 680406 1000332 1020609 1360812 2041218 4082436 4195837 8391674 12587511 16783348 25175022 37762533 50350044 75525066 151050132