153020364 has 96 divisors (see below), whose sum is σ = 422155776. Its totient is φ = 42232320.

The previous prime is 153020363. The next prime is 153020401. The reversal of 153020364 is 463020351.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (153020363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540567 + ... + 540849.

It is an arithmetic number, because the mean of its divisors is an integer number (4397456).

Almost surely, 2^153020364 is an apocalyptic number.

153020364 is a gapful number since it is divisible by the number (14) 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 153020364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211077888).

153020364 is an abundant number, since it is smaller than the sum of its proper divisors (269135412).

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

153020364 is a wasteful number, since it uses less digits than its factorization.

153020364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 153020364 is about 12370.1400153757. The cubic root of 153020364 is about 534.8718521501.

The spelling of 153020364 in words is "one hundred fifty-three million, twenty thousand, three hundred sixty-four".