151193952 has 240 divisors, whose sum is σ = 548124192. Its totient is φ = 39813120.

The previous prime is 151193947. The next prime is 151193953. The reversal of 151193952 is 259391151.

151193952 is a `hidden beast` number, since 1 + 511 + 93 + 9 + 52 = 666.

It is a super-2 number, since 2×151193952² = 45719222242756608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151193953) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235552 + ... + 236192.

Almost surely, 2^151193952 is an apocalyptic number.

151193952 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 151193952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274062096).

151193952 is an abundant number, since it is smaller than the sum of its proper divisors (396930240).

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

151193952 is a wasteful number, since it uses less digits than its factorization.

151193952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 666 counting only the distinct ones).

The product of its digits is 12150, while the sum is 36.

The square root of 151193952 is about 12296.0949898738. The cubic root of 151193952 is about 532.7352977188.

The spelling of 151193952 in words is "one hundred fifty-one million, one hundred ninety-three thousand, nine hundred fifty-two".