153042912 has 96 divisors (see below), whose sum is σ = 486984960. Its totient is φ = 46373760.

The previous prime is 153042907. The next prime is 153042913. The reversal of 153042912 is 219240351.

153042912 is a `hidden beast` number, since 1 + 530 + 42 + 91 + 2 = 666.

153042912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153042913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1453 + ... + 17555.

It is an arithmetic number, because the mean of its divisors is an integer number (5072760).

Almost surely, 2^153042912 is an apocalyptic number.

153042912 is a gapful number since it is divisible by the number (12) 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 153042912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243492480).

153042912 is an abundant number, since it is smaller than the sum of its proper divisors (333942048).

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

153042912 is a wasteful number, since it uses less digits than its factorization.

153042912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16133 (or 16119 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 153042912 is about 12371.0513700332. The cubic root of 153042912 is about 534.8981225059.

The spelling of 153042912 in words is "one hundred fifty-three million, forty-two thousand, nine hundred twelve".