157903740 has 144 divisors (see below), whose sum is σ = 511999488. Its totient is φ = 39295872.

The previous prime is 157903729. The next prime is 157903741. The reversal of 157903740 is 47309751.

It is a happy number.

It is a super-2 number, since 2×157903740² = 49867182211975200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 157903695 and 157903704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157903741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177577 + ... + 178463.

It is an arithmetic number, because the mean of its divisors is an integer number (3555552).

Almost surely, 2^157903740 is an apocalyptic number.

157903740 is a gapful number since it is divisible by the number (10) 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 157903740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255999744).

157903740 is an abundant number, since it is smaller than the sum of its proper divisors (354095748).

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

157903740 is a wasteful number, since it uses less digits than its factorization.

157903740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 157903740 is about 12565.9754893920. The cubic root of 157903740 is about 540.5022076920.

The spelling of 157903740 in words is "one hundred fifty-seven million, nine hundred three thousand, seven hundred forty".