157267440 has 160 divisors (see below), whose sum is σ = 591033600. Its totient is φ = 38119680.

The previous prime is 157267417. The next prime is 157267441. The reversal of 157267440 is 44762751.

157267440 is a `hidden beast` number, since 157 + 2 + 67 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 157267395 and 157267404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157267441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20451 + ... + 27069.

It is an arithmetic number, because the mean of its divisors is an integer number (3693960).

Almost surely, 2^157267440 is an apocalyptic number.

157267440 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 157267440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295516800).

157267440 is an abundant number, since it is smaller than the sum of its proper divisors (433766160).

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

157267440 is a wasteful number, since it uses less digits than its factorization.

157267440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 6640 counting only the distinct ones).

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

The square root of 157267440 is about 12540.6315630434. The cubic root of 157267440 is about 539.7752150841.

The spelling of 157267440 in words is "one hundred fifty-seven million, two hundred sixty-seven thousand, four hundred forty".