153564264 has 96 divisors (see below), whose sum is σ = 503305920. Its totient is φ = 41292288.

The previous prime is 153564241. The next prime is 153564269. The reversal of 153564264 is 462465351.

153564264 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 642 + 6 + 4 = 666.

153564264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (153564269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394 + ... + 17529.

It is an arithmetic number, because the mean of its divisors is an integer number (5242770).

Almost surely, 2^153564264 is an apocalyptic number.

153564264 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 153564264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251652960).

153564264 is an abundant number, since it is smaller than the sum of its proper divisors (349741656).

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

153564264 is a wasteful number, since it uses less digits than its factorization.

153564264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17959 (or 17952 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 153564264 is about 12392.1049059472. The cubic root of 153564264 is about 535.5048241084.

The spelling of 153564264 in words is "one hundred fifty-three million, five hundred sixty-four thousand, two hundred sixty-four".