151958464 has 56 divisors (see below), whose sum is σ = 353068128. Its totient is φ = 63528960.

The previous prime is 151958419. The next prime is 151958483. The reversal of 151958464 is 464859151.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 151958464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14232 + ... + 22504.

It is an arithmetic number, because the mean of its divisors is an integer number (6304788).

Almost surely, 2^151958464 is an apocalyptic number.

151958464 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 151958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176534064).

151958464 is an abundant number, since it is smaller than the sum of its proper divisors (201109664).

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

151958464 is an equidigital number, since it uses as much as digits as its factorization.

151958464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8333 (or 8323 counting only the distinct ones).

The product of its digits is 172800, while the sum is 43.

The square root of 151958464 is about 12327.1433836068. The cubic root of 151958464 is about 533.6317135917.

The spelling of 151958464 in words is "one hundred fifty-one million, nine hundred fifty-eight thousand, four hundred sixty-four".