157429104 has 80 divisors (see below), whose sum is σ = 469493760. Its totient is φ = 44524800.

The previous prime is 157429093. The next prime is 157429141. The reversal of 157429104 is 401924751.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31617 + ... + 36255.

It is an arithmetic number, because the mean of its divisors is an integer number (5868672).

Almost surely, 2^157429104 is an apocalyptic number.

157429104 is a gapful number since it is divisible by the number (14) 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 157429104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234746880).

157429104 is an abundant number, since it is smaller than the sum of its proper divisors (312064656).

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

157429104 is a wasteful number, since it uses less digits than its factorization.

157429104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 157429104 is about 12547.0755158324. The cubic root of 157429104 is about 539.9601067923.

The spelling of 157429104 in words is "one hundred fifty-seven million, four hundred twenty-nine thousand, one hundred four".