157266720 has 288 divisors, whose sum is σ = 598800384. Its totient is φ = 37324800.

The previous prime is 157266673. The next prime is 157266721. The reversal of 157266720 is 27662751.

157266720 is a `hidden beast` number, since 1 + 572 + 6 + 67 + 20 = 666.

157266720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157266721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580185 + ... + 580455.

It is an arithmetic number, because the mean of its divisors is an integer number (2079168).

Almost surely, 2^157266720 is an apocalyptic number.

157266720 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 157266720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299400192).

157266720 is an abundant number, since it is smaller than the sum of its proper divisors (441533664).

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

157266720 is a wasteful number, since it uses less digits than its factorization.

157266720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 157266720 is about 12540.6028563223. The cubic root of 157266720 is about 539.7743913519.

The spelling of 157266720 in words is "one hundred fifty-seven million, two hundred sixty-six thousand, seven hundred twenty".