151384464 has 400 divisors, whose sum is σ = 574713216. Its totient is φ = 37324800.

The previous prime is 151384451. The next prime is 151384477. The reversal of 151384464 is 464483151.

151384464 is a `hidden beast` number, since 1 + 513 + 84 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (151384451) and next prime (151384477).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3692284 + ... + 3692324.

Almost surely, 2^151384464 is an apocalyptic number.

151384464 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 151384464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287356608).

151384464 is an abundant number, since it is smaller than the sum of its proper divisors (423328752).

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

151384464 is a wasteful number, since it uses less digits than its factorization.

151384464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

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

The square root of 151384464 is about 12303.8394007724. The cubic root of 151384464 is about 532.9589615779.

The spelling of 151384464 in words is "one hundred fifty-one million, three hundred eighty-four thousand, four hundred sixty-four".