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151135240 = 235291131153
BaseRepresentation
bin10010000001000…
…10010000001000
3101112101110120111
421000202100020
5302142311430
622555204104
73513425344
oct1100422010
9345343514
10151135240
1178348163
1242746634
1325408849
1416102624
15d405c2a
hex9022408

151135240 has 64 divisors (see below), whose sum is σ = 355201200. Its totient is φ = 57802752.

The previous prime is 151135223. The next prime is 151135241. The reversal of 151135240 is 42531151.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 42016324 + 109118916 = 6482^2 + 10446^2 .

It is not an unprimeable number, because it can be changed into a prime (151135241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130504 + ... + 131656.

Almost surely, 2151135240 is an apocalyptic number.

151135240 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 151135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177600600).

151135240 is an abundant number, since it is smaller than the sum of its proper divisors (204065960).

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

151135240 is a wasteful number, since it uses less digits than its factorization.

151135240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 151135240 is about 12293.7073334288. The cubic root of 151135240 is about 532.6663311059. Note that the first 3 decimals are identical.

Adding to 151135240 its reverse (42531151), we get a palindrome (193666391).

The spelling of 151135240 in words is "one hundred fifty-one million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 113 116 145 226 232 290 452 565 580 904 1130 1153 1160 2260 2306 3277 4520 4612 5765 6554 9224 11530 13108 16385 23060 26216 32770 33437 46120 65540 66874 130289 131080 133748 167185 260578 267496 334370 521156 651445 668740 1042312 1302890 1337480 2605780 3778381 5211560 7556762 15113524 18891905 30227048 37783810 75567620 151135240