151607640 has 64 divisors (see below), whose sum is σ = 456564960. Its totient is φ = 40273920.

The previous prime is 151607629. The next prime is 151607653. The reversal of 151607640 is 46706151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 151607598 and 151607607.

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 15 ways as a sum of consecutive naturals, for example, 30960 + ... + 35520.

Almost surely, 2^151607640 is an apocalyptic number.

151607640 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 151607640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228282480).

151607640 is an abundant number, since it is smaller than the sum of its proper divisors (304957320).

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

151607640 is a wasteful number, since it uses less digits than its factorization.

151607640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 151607640 is about 12312.9054247972. The cubic root of 151607640 is about 533.2207349102.

The spelling of 151607640 in words is "one hundred fifty-one million, six hundred seven thousand, six hundred forty".