157603840 has 48 divisors (see below), whose sum is σ = 378181440. Its totient is φ = 63037440.

The previous prime is 157603837. The next prime is 157603847. The reversal of 157603840 is 48306751.

It is a junction number, because it is equal to n+sod(n) for n = 157603796 and 157603805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157603847) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2545 + ... + 17935.

It is an arithmetic number, because the mean of its divisors is an integer number (7878780).

Almost surely, 2^157603840 is an apocalyptic number.

157603840 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 157603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189090720).

157603840 is an abundant number, since it is smaller than the sum of its proper divisors (220577600).

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

157603840 is an equidigital number, since it uses as much as digits as its factorization.

157603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15418 (or 15398 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 157603840 is about 12554.0368009657. The cubic root of 157603840 is about 540.1598063834.

It can be divided in two parts, 15760 and 3840, that added together give a square (19600 = 140²).

The spelling of 157603840 in words is "one hundred fifty-seven million, six hundred three thousand, eight hundred forty".