157953120 has 192 divisors, whose sum is σ = 567725760. Its totient is φ = 36569088.

The previous prime is 157953113. The next prime is 157953139. The reversal of 157953120 is 21359751.

157953120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 105336 + ... + 106824.

It is an arithmetic number, because the mean of its divisors is an integer number (2956905).

Almost surely, 2^157953120 is an apocalyptic number.

157953120 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 157953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283862880).

157953120 is an abundant number, since it is smaller than the sum of its proper divisors (409772640).

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

157953120 is a wasteful number, since it uses less digits than its factorization.

157953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 157953120 is about 12567.9401653572. The cubic root of 157953120 is about 540.5585441607.

It can be divided in two parts, 15795 and 3120, that multiplied together give a square (49280400 = 7020²).

The spelling of 157953120 in words is "one hundred fifty-seven million, nine hundred fifty-three thousand, one hundred twenty".