157804038 has 80 divisors (see below), whose sum is σ = 415144224. Its totient is φ = 43856640.

The previous prime is 157804037. The next prime is 157804067. The reversal of 157804038 is 830408751.

157804038 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×157804038² = 49804228818210888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157803993 and 157804011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157804033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40078 + ... + 43838.

Almost surely, 2^157804038 is an apocalyptic number.

157804038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157804038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207572112).

157804038 is an abundant number, since it is smaller than the sum of its proper divisors (257340186).

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

157804038 is a wasteful number, since it uses less digits than its factorization.

157804038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 157804038 is about 12562.0077216980. The cubic root of 157804038 is about 540.3884242415.

The spelling of 157804038 in words is "one hundred fifty-seven million, eight hundred four thousand, thirty-eight".