153397920 has 288 divisors, whose sum is σ = 548964864. Its totient is φ = 35942400.

The previous prime is 153397883. The next prime is 153397927. The reversal of 153397920 is 29793351.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153397927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2514690 + ... + 2514750.

It is an arithmetic number, because the mean of its divisors is an integer number (1906128).

Almost surely, 2^153397920 is an apocalyptic number.

153397920 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 153397920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274482432).

153397920 is an abundant number, since it is smaller than the sum of its proper divisors (395566944).

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

153397920 is a wasteful number, since it uses less digits than its factorization.

153397920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 153397920 is about 12385.3913947037. The cubic root of 153397920 is about 535.3113976014.

The spelling of 153397920 in words is "one hundred fifty-three million, three hundred ninety-seven thousand, nine hundred twenty".