153013836960 has 288 divisors, whose sum is σ = 573541637760. Its totient is φ = 36975273984.

The previous prime is 153013836953. The next prime is 153013836961. The reversal of 153013836960 is 69638310351.

153013836960 is a `hidden beast` number, since 153 + 0 + 1 + 383 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (153013836961) 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, 507702 + ... + 750858.

It is an arithmetic number, because the mean of its divisors is an integer number (1991464020).

Almost surely, 2^153013836960 is an apocalyptic number.

153013836960 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 153013836960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286770818880).

153013836960 is an abundant number, since it is smaller than the sum of its proper divisors (420527800800).

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

153013836960 is a wasteful number, since it uses less digits than its factorization.

153013836960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243220 (or 243209 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 153013836960 in words is "one hundred fifty-three billion, thirteen million, eight hundred thirty-six thousand, nine hundred sixty".