152734464 has 144 divisors (see below), whose sum is σ = 475843200. Its totient is φ = 48190464.

The previous prime is 152734433. The next prime is 152734481. The reversal of 152734464 is 464437251.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 130747 + ... + 131909.

Almost surely, 2^152734464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237921600).

152734464 is an abundant number, since it is smaller than the sum of its proper divisors (323108736).

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

152734464 is a wasteful number, since it uses less digits than its factorization.

152734464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1187 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 152734464 is about 12358.5785590415. The cubic root of 152734464 is about 534.5385300682.

The spelling of 152734464 in words is "one hundred fifty-two million, seven hundred thirty-four thousand, four hundred sixty-four".