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151204152 = 233111513793
BaseRepresentation
bin10010000001100…
…11000100111000
3101112111222002210
421000303010320
5302202013102
623000455120
73514133301
oct1100630470
9345458083
10151204152
1178394a10
124277a4a0
1325431018
141611d7a8
15d41b36c
hex9033138

151204152 has 64 divisors (see below), whose sum is σ = 415215360. Its totient is φ = 45504000.

The previous prime is 151204127. The next prime is 151204153. The reversal of 151204152 is 251402151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151204153) 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, 37968 + ... + 41760.

It is an arithmetic number, because the mean of its divisors is an integer number (6487740).

Almost surely, 2151204152 is an apocalyptic number.

151204152 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 151204152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207607680).

151204152 is an abundant number, since it is smaller than the sum of its proper divisors (264011208).

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

151204152 is a wasteful number, since it uses less digits than its factorization.

151204152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 151204152 is about 12296.5097487051. The cubic root of 151204152 is about 532.7472774261.

The spelling of 151204152 in words is "one hundred fifty-one million, two hundred four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 151 264 302 453 604 906 1208 1661 1812 3322 3624 3793 4983 6644 7586 9966 11379 13288 15172 19932 22758 30344 39864 41723 45516 83446 91032 125169 166892 250338 333784 500676 572743 1001352 1145486 1718229 2290972 3436458 4581944 6300173 6872916 12600346 13745832 18900519 25200692 37801038 50401384 75602076 151204152