153249264 has 180 divisors, whose sum is σ = 513264024. Its totient is φ = 42529536.

The previous prime is 153249259. The next prime is 153249287. The reversal of 153249264 is 462942351.

It is a happy number.

153249264 is a `hidden beast` number, since 153 + 249 + 264 = 666.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 260779 + ... + 261365.

Almost surely, 2^153249264 is an apocalyptic number.

153249264 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 153249264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256632012).

153249264 is an abundant number, since it is smaller than the sum of its proper divisors (360014760).

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

153249264 is a wasteful number, since it uses less digits than its factorization.

153249264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 153249264 is about 12379.3886763442. The cubic root of 153249264 is about 535.1384205260.

The spelling of 153249264 in words is "one hundred fifty-three million, two hundred forty-nine thousand, two hundred sixty-four".