151682440 has 96 divisors (see below), whose sum is σ = 427616280. Its totient is φ = 47996928.

The previous prime is 151682431. The next prime is 151682519. The reversal of 151682440 is 44286151.

It can be written as a sum of positive squares in 4 ways, for example, as 43480836 + 108201604 = 6594^2 + 10402^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22504 + ... + 28456.

Almost surely, 2^151682440 is an apocalyptic number.

151682440 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 151682440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213808140).

151682440 is an abundant number, since it is smaller than the sum of its proper divisors (275933840).

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

151682440 is a wasteful number, since it uses less digits than its factorization.

151682440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5991 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 151682440 is about 12315.9425136690. The cubic root of 151682440 is about 533.3084137662.

The spelling of 151682440 in words is "one hundred fifty-one million, six hundred eighty-two thousand, four hundred forty".