151956480 has 176 divisors, whose sum is σ = 524097504. Its totient is φ = 37355520.

The previous prime is 151956479. The next prime is 151956517. The reversal of 151956480 is 84659151.

151956480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199300 + ... + 200060.

Almost surely, 2^151956480 is an apocalyptic number.

151956480 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 151956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262048752).

151956480 is an abundant number, since it is smaller than the sum of its proper divisors (372141024).

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

151956480 is a wasteful number, since it uses less digits than its factorization.

151956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 151956480 is about 12327.0629105233. The cubic root of 151956480 is about 533.6293911809.

The spelling of 151956480 in words is "one hundred fifty-one million, nine hundred fifty-six thousand, four hundred eighty".