151438464 has 128 divisors (see below), whose sum is σ = 462672000. Its totient is φ = 48706560.

The previous prime is 151438459. The next prime is 151438471. The reversal of 151438464 is 464834151.

151438464 is a `hidden beast` number, since 1 + 514 + 3 + 84 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 99469 + ... + 100979.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^151438464 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 151438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231336000).

151438464 is an abundant number, since it is smaller than the sum of its proper divisors (311233536).

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

151438464 is a wasteful number, since it uses less digits than its factorization.

151438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1545 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 151438464 is about 12306.0336420798. The cubic root of 151438464 is about 533.0223242283.

The spelling of 151438464 in words is "one hundred fifty-one million, four hundred thirty-eight thousand, four hundred sixty-four".