157891840 has 72 divisors (see below), whose sum is σ = 380392488. Its totient is φ = 62791680.

The previous prime is 157891837. The next prime is 157891883. The reversal of 157891840 is 48198751.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8856576 + 149035264 = 2976^2 + 12208^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 374830 + ... + 375250.

It is an arithmetic number, because the mean of its divisors is an integer number (5283229).

Almost surely, 2^157891840 is an apocalyptic number.

157891840 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 157891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190196244).

157891840 is an abundant number, since it is smaller than the sum of its proper divisors (222500648).

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

157891840 is an equidigital number, since it uses as much as digits as its factorization.

157891840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

The square root of 157891840 is about 12565.5019796266. The cubic root of 157891840 is about 540.4886295086.

The spelling of 157891840 in words is "one hundred fifty-seven million, eight hundred ninety-one thousand, eight hundred forty".