157833120 has 96 divisors (see below), whose sum is σ = 510668928. Its totient is φ = 40946688.

The previous prime is 157833119. The next prime is 157833127. The reversal of 157833120 is 21338751.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×157833120² = 49822587537868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (157833127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13317 + ... + 22203.

It is an arithmetic number, because the mean of its divisors is an integer number (5319468).

Almost surely, 2^157833120 is an apocalyptic number.

157833120 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 157833120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255334464).

157833120 is an abundant number, since it is smaller than the sum of its proper divisors (352835808).

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

157833120 is a wasteful number, since it uses less digits than its factorization.

157833120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8942 (or 8934 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 157833120 is about 12563.1652062687. The cubic root of 157833120 is about 540.4216185988.

The spelling of 157833120 in words is "one hundred fifty-seven million, eight hundred thirty-three thousand, one hundred twenty".