157511952 has 100 divisors (see below), whose sum is σ = 491005900. Its totient is φ = 48460032.

The previous prime is 157511951. The next prime is 157511969. The reversal of 157511952 is 259115751.

157511952 is a `hidden beast` number, since 1 + 57 + 511 + 95 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80353296 + 77158656 = 8964^2 + 8784^2 .

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

It is not an unprimeable number, because it can be changed into a prime (157511951) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 12174 + ... + 21522.

It is an arithmetic number, because the mean of its divisors is an integer number (4910059).

Almost surely, 2^157511952 is an apocalyptic number.

157511952 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 157511952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245502950).

157511952 is an abundant number, since it is smaller than the sum of its proper divisors (333493948).

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

157511952 is a wasteful number, since it uses less digits than its factorization.

157511952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382 (or 9367 counting only the distinct ones).

The product of its digits is 15750, while the sum is 36.

The square root of 157511952 is about 12550.3765680556. The cubic root of 157511952 is about 540.0548092516.

The spelling of 157511952 in words is "one hundred fifty-seven million, five hundred eleven thousand, nine hundred fifty-two".