157440672 has 168 divisors, whose sum is σ = 493305876. Its totient is φ = 49268736.

The previous prime is 157440653. The next prime is 157440677. The reversal of 157440672 is 276044751.

157440672 is a `hidden beast` number, since 157 + 440 + 67 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148937616 + 8503056 = 12204^2 + 2916^2 .

It is a super-3 number, since 3×157440672³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (157440677) 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 27 ways as a sum of consecutive naturals, for example, 396378 + ... + 396774.

Almost surely, 2^157440672 is an apocalyptic number.

157440672 is a gapful number since it is divisible by the number (12) 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 157440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246652938).

157440672 is an abundant number, since it is smaller than the sum of its proper divisors (335865204).

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

157440672 is an equidigital number, since it uses as much as digits as its factorization.

157440672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 157440672 is about 12547.5364912799. The cubic root of 157440672 is about 539.9733320164.

The spelling of 157440672 in words is "one hundred fifty-seven million, four hundred forty thousand, six hundred seventy-two".