157535640 has 96 divisors (see below), whose sum is σ = 525872880. Its totient is φ = 40870656.

The previous prime is 157535621. The next prime is 157535641. The reversal of 157535640 is 46535751.

157535640 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 3 + 5 + 640 = 666.

157535640 is digitally balanced in base 2, 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 = 157535595 and 157535604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157535641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7407 + ... + 19233.

Almost surely, 2^157535640 is an apocalyptic number.

157535640 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 157535640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262936440).

157535640 is an abundant number, since it is smaller than the sum of its proper divisors (368337240).

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

157535640 is a wasteful number, since it uses less digits than its factorization.

157535640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11881 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 157535640 is about 12551.3202492806. The cubic root of 157535640 is about 540.0818805879.

The spelling of 157535640 in words is "one hundred fifty-seven million, five hundred thirty-five thousand, six hundred forty".