157729104 has 120 divisors (see below), whose sum is σ = 480359880. Its totient is φ = 48024576.

The previous prime is 157729097. The next prime is 157729141. The reversal of 157729104 is 401927751.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 176400 + 157552704 = 420^2 + 12552^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 203662 + ... + 204434.

It is an arithmetic number, because the mean of its divisors is an integer number (4002999).

Almost surely, 2^157729104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157729104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240179940).

157729104 is an abundant number, since it is smaller than the sum of its proper divisors (322630776).

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

157729104 is a wasteful number, since it uses less digits than its factorization.

157729104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 157729104 is about 12559.0248029057. The cubic root of 157729104 is about 540.3028753589.

The spelling of 157729104 in words is "one hundred fifty-seven million, seven hundred twenty-nine thousand, one hundred four".