151633152 has 216 divisors, whose sum is σ = 494876928. Its totient is φ = 44236800.

The previous prime is 151633151. The next prime is 151633241. The reversal of 151633152 is 251336151.

151633152 is a `hidden beast` number, since 15 + 1 + 633 + 15 + 2 = 666.

It is a super-2 number, since 2×151633152² = 45985225570910208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151633151) 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, 785568 + ... + 785760.

Almost surely, 2^151633152 is an apocalyptic number.

151633152 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 151633152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247438464).

151633152 is an abundant number, since it is smaller than the sum of its proper divisors (343243776).

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

151633152 is a wasteful number, since it uses less digits than its factorization.

151633152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 151633152 is about 12313.9413674095. The cubic root of 151633152 is about 533.2506427355.

The spelling of 151633152 in words is "one hundred fifty-one million, six hundred thirty-three thousand, one hundred fifty-two".