153493920 has 96 divisors (see below), whose sum is σ = 537243840. Its totient is φ = 40930560.

The previous prime is 153493877. The next prime is 153493933. The reversal of 153493920 is 29394351.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 13446 + ... + 22085.

It is an arithmetic number, because the mean of its divisors is an integer number (5596290).

Almost surely, 2^153493920 is an apocalyptic number.

153493920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153493920 is an abundant number, since it is smaller than the sum of its proper divisors (383749920).

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

153493920 is a wasteful number, since it uses less digits than its factorization.

153493920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35555 (or 35541 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 153493920 is about 12389.2663221032. The cubic root of 153493920 is about 535.4230444381.

The spelling of 153493920 in words is "one hundred fifty-three million, four hundred ninety-three thousand, nine hundred twenty".