157441312 has 144 divisors (see below), whose sum is σ = 386104320. Its totient is φ = 62899200.

The previous prime is 157441309. The next prime is 157441321. The reversal of 157441312 is 213144751.

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

Its product of digits (3360) is a multiple of the sum of its prime divisors (160).

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 23 ways as a sum of consecutive naturals, for example, 1992889 + ... + 1992967.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2^157441312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

157441312 is an abundant number, since it is smaller than the sum of its proper divisors (228663008).

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

157441312 is a wasteful number, since it uses less digits than its factorization.

157441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 157441312 is about 12547.5619942680. The cubic root of 157441312 is about 539.9740636834.

It can be divided in two parts, 1574413 and 12, that added together give a triangular number (1574425 = T₁₇₇₄).

The spelling of 157441312 in words is "one hundred fifty-seven million, four hundred forty-one thousand, three hundred twelve".