153157920 has 96 divisors (see below), whose sum is σ = 503459712. Its totient is φ = 39063552.

The previous prime is 153157891. The next prime is 153157931. The reversal of 153157920 is 29751351.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4104 + ... + 17976.

It is an arithmetic number, because the mean of its divisors is an integer number (5244372).

Almost surely, 2^153157920 is an apocalyptic number.

153157920 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 153157920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251729856).

153157920 is an abundant number, since it is smaller than the sum of its proper divisors (350301792).

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

153157920 is a wasteful number, since it uses less digits than its factorization.

153157920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13914 (or 13906 counting only the distinct ones).

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

The square root of 153157920 is about 12375.6987681504. The cubic root of 153157920 is about 535.0320765698.

The spelling of 153157920 in words is "one hundred fifty-three million, one hundred fifty-seven thousand, nine hundred twenty".