157949952 has 56 divisors (see below), whose sum is σ = 421239696. Its totient is φ = 52641792.

The previous prime is 157949893. The next prime is 157949959. The reversal of 157949952 is 259949751.

It is a junction number, because it is equal to n+sod(n) for n = 157949895 and 157949904.

It is not an unprimeable number, because it can be changed into a prime (157949959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21363 + ... + 27789.

Almost surely, 2^157949952 is an apocalyptic number.

157949952 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 157949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210619848).

157949952 is an abundant number, since it is smaller than the sum of its proper divisors (263289744).

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

157949952 is an frugal number, since it uses more digits than its factorization.

157949952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456 (or 6432 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 51.

The square root of 157949952 is about 12567.8141297522. The cubic root of 157949952 is about 540.5549302173.

The spelling of 157949952 in words is "one hundred fifty-seven million, nine hundred forty-nine thousand, nine hundred fifty-two".