151416640 has 56 divisors (see below), whose sum is σ = 366518952. Its totient is φ = 59566080.

The previous prime is 151416623. The next prime is 151416689. The reversal of 151416640 is 46614151.

It can be written as a sum of positive squares in 4 ways, for example, as 5683456 + 145733184 = 2384^2 + 12072^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151416599 and 151416608.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 15642 + ... + 23398.

Almost surely, 2^151416640 is an apocalyptic number.

151416640 is a gapful number since it is divisible by the number (10) 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 151416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183259476).

151416640 is an abundant number, since it is smaller than the sum of its proper divisors (215102312).

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

151416640 is an equidigital number, since it uses as much as digits as its factorization.

151416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7835 (or 7825 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 151416640 is about 12305.1468906308. The cubic root of 151416640 is about 532.9967181444.

The spelling of 151416640 in words is "one hundred fifty-one million, four hundred sixteen thousand, six hundred forty".