157544640 has 168 divisors, whose sum is σ = 591269328. Its totient is φ = 38184960.

The previous prime is 157544623. The next prime is 157544677. The reversal of 157544640 is 46445751.

157544640 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 4 + 4 + 640 = 666.

157544640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 157544595 and 157544604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29194 + ... + 34166.

Almost surely, 2^157544640 is an apocalyptic number.

157544640 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 157544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295634664).

157544640 is an abundant number, since it is smaller than the sum of its proper divisors (433724688).

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

157544640 is a wasteful number, since it uses less digits than its factorization.

157544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 157544640 is about 12551.6787721802. The cubic root of 157544640 is about 540.0921653386.

The spelling of 157544640 in words is "one hundred fifty-seven million, five hundred forty-four thousand, six hundred forty".