153938160 has 120 divisors (see below), whose sum is σ = 528091200. Its totient is φ = 40167936.

The previous prime is 153938143. The next prime is 153938173. The reversal of 153938160 is 61839351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31566 + ... + 36114.

It is an arithmetic number, because the mean of its divisors is an integer number (4400760).

Almost surely, 2^153938160 is an apocalyptic number.

153938160 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 153938160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264045600).

153938160 is an abundant number, since it is smaller than the sum of its proper divisors (374153040).

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

153938160 is a wasteful number, since it uses less digits than its factorization.

153938160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 153938160 is about 12407.1817912046. The cubic root of 153938160 is about 535.9390849316.

The spelling of 153938160 in words is "one hundred fifty-three million, nine hundred thirty-eight thousand, one hundred sixty".