157673120 has 96 divisors (see below), whose sum is σ = 410852736. Its totient is φ = 56704000.

The previous prime is 157673111. The next prime is 157673123. The reversal of 157673120 is 21376751.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157673123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177317 + ... + 178203.

It is an arithmetic number, because the mean of its divisors is an integer number (4279716).

Almost surely, 2^157673120 is an apocalyptic number.

157673120 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 157673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205426368).

157673120 is an abundant number, since it is smaller than the sum of its proper divisors (253179616).

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

157673120 is a wasteful number, since it uses less digits than its factorization.

157673120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 157673120 is about 12556.7957696221. The cubic root of 157673120 is about 540.2389431805.

It can be divided in two parts, 1576731 and 20, that added together give a palindrome (1576751).

The spelling of 157673120 in words is "one hundred fifty-seven million, six hundred seventy-three thousand, one hundred twenty".