157312540 has 72 divisors (see below), whose sum is σ = 419256432. Its totient is φ = 49029120.

The previous prime is 157312537. The next prime is 157312549. The reversal of 157312540 is 45213751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 157312499 and 157312508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157312549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3484 + ... + 18076.

It is an arithmetic number, because the mean of its divisors is an integer number (5823006).

Almost surely, 2^157312540 is an apocalyptic number.

157312540 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 157312540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209628216).

157312540 is an abundant number, since it is smaller than the sum of its proper divisors (261943892).

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

157312540 is a wasteful number, since it uses less digits than its factorization.

157312540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14627 (or 14618 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 157312540 is about 12542.4295891984. The cubic root of 157312540 is about 539.8268077416.

The spelling of 157312540 in words is "one hundred fifty-seven million, three hundred twelve thousand, five hundred forty".