157739904 has 192 divisors, whose sum is σ = 536340480. Its totient is φ = 43545600.

The previous prime is 157739891. The next prime is 157739947. The reversal of 157739904 is 409937751.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 157739904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249669 + ... + 250299.

It is an arithmetic number, because the mean of its divisors is an integer number (2793440).

Almost surely, 2^157739904 is an apocalyptic number.

157739904 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 157739904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268170240).

157739904 is an abundant number, since it is smaller than the sum of its proper divisors (378600576).

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

157739904 is a wasteful number, since it uses less digits than its factorization.

157739904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 157739904 is about 12559.4547652356. The cubic root of 157739904 is about 540.3152069192.

The spelling of 157739904 in words is "one hundred fifty-seven million, seven hundred thirty-nine thousand, nine hundred four".