157626720 has 288 divisors, whose sum is σ = 585906048. Its totient is φ = 38436864.

The previous prime is 157626719. The next prime is 157626731. The reversal of 157626720 is 27626751.

157626720 is a `hidden beast` number, since 1 + 5 + 7 + 626 + 7 + 20 = 666.

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

It is a super-4 number, since 4×157626720⁴ (a number of 34 digits) contains 4444 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 1150492 + ... + 1150628.

It is an arithmetic number, because the mean of its divisors is an integer number (2034396).

Almost surely, 2^157626720 is an apocalyptic number.

157626720 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 157626720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292953024).

157626720 is an abundant number, since it is smaller than the sum of its proper divisors (428279328).

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

157626720 is a wasteful number, since it uses less digits than its factorization.

157626720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

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

The square root of 157626720 is about 12554.9480285663. The cubic root of 157626720 is about 540.1859441949.

The spelling of 157626720 in words is "one hundred fifty-seven million, six hundred twenty-six thousand, seven hundred twenty".