151728480 has 72 divisors (see below), whose sum is σ = 517778352. Its totient is φ = 40460544.

The previous prime is 151728449. The next prime is 151728487. The reversal of 151728480 is 84827151.

151728480 is a `hidden beast` number, since 1 + 5 + 172 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×151728480² = 46043063286220800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151728487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51244 + ... + 54123.

It is an arithmetic number, because the mean of its divisors is an integer number (7191366).

Almost surely, 2^151728480 is an apocalyptic number.

151728480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151728480 is an abundant number, since it is smaller than the sum of its proper divisors (366049872).

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

151728480 is a wasteful number, since it uses less digits than its factorization.

151728480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105388 (or 105377 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 151728480 is about 12317.8114939302. The cubic root of 151728480 is about 533.3623664750.

The spelling of 151728480 in words is "one hundred fifty-one million, seven hundred twenty-eight thousand, four hundred eighty".