151493760 has 256 divisors, whose sum is σ = 586051200. Its totient is φ = 36679680.

The previous prime is 151493747. The next prime is 151493779. The reversal of 151493760 is 67394151.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189682 + ... + 190478.

Almost surely, 2^151493760 is an apocalyptic number.

151493760 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 151493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

151493760 is an abundant number, since it is smaller than the sum of its proper divisors (434557440).

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

151493760 is a wasteful number, since it uses less digits than its factorization.

151493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 151493760 is about 12308.2801398083. The cubic root of 151493760 is about 533.0871919751.

The spelling of 151493760 in words is "one hundred fifty-one million, four hundred ninety-three thousand, seven hundred sixty".