157083940 has 48 divisors (see below), whose sum is σ = 356913648. Its totient is φ = 57729024.

The previous prime is 157083937. The next prime is 157083947. The reversal of 157083940 is 49380751.

It can be written as a sum of positive squares in 8 ways, for example, as 20848356 + 136235584 = 4566^2 + 11672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 157083940.

It is not an unprimeable number, because it can be changed into a prime (157083947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59284 + ... + 61876.

It is an arithmetic number, because the mean of its divisors is an integer number (7435701).

Almost surely, 2^157083940 is an apocalyptic number.

157083940 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 157083940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178456824).

157083940 is an abundant number, since it is smaller than the sum of its proper divisors (199829708).

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

157083940 is a wasteful number, since it uses less digits than its factorization.

157083940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 157083940 is about 12533.3132092037. The cubic root of 157083940 is about 539.5651964043.

The spelling of 157083940 in words is "one hundred fifty-seven million, eighty-three thousand, nine hundred forty".