151260480 has 448 divisors, whose sum is σ = 634959360. Its totient is φ = 33177600.

The previous prime is 151260457. The next prime is 151260493. The reversal of 151260480 is 84062151.

151260480 is a `hidden beast` number, since 1 + 51 + 2 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2479650 + ... + 2479710.

It is an arithmetic number, because the mean of its divisors is an integer number (1417320).

Almost surely, 2^151260480 is an apocalyptic number.

151260480 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 151260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317479680).

151260480 is an abundant number, since it is smaller than the sum of its proper divisors (483698880).

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

151260480 is a wasteful number, since it uses less digits than its factorization.

151260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 151260480 is about 12298.7999414577. The cubic root of 151260480 is about 532.8134238968.

The spelling of 151260480 in words is "one hundred fifty-one million, two hundred sixty thousand, four hundred eighty".