151591440 has 320 divisors, whose sum is σ = 631959552. Its totient is φ = 29030400.

The previous prime is 151591399. The next prime is 151591463. The reversal of 151591440 is 44195151.

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 = 151591398 and 151591407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239925 + ... + 240555.

Almost surely, 2^151591440 is an apocalyptic number.

151591440 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 151591440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315979776).

151591440 is an abundant number, since it is smaller than the sum of its proper divisors (480368112).

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

151591440 is a wasteful number, since it uses less digits than its factorization.

151591440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 151591440 is about 12312.2475608639. The cubic root of 151591440 is about 533.2017418401.

The spelling of 151591440 in words is "one hundred fifty-one million, five hundred ninety-one thousand, four hundred forty".