151865480 has 96 divisors (see below), whose sum is σ = 388848600. Its totient is φ = 53056512.

The previous prime is 151865479. The next prime is 151865503. The reversal of 151865480 is 84568151.

151865480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 123965956 + 27899524 = 11134^2 + 5282^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187316 + ... + 188124.

Almost surely, 2^151865480 is an apocalyptic number.

151865480 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 151865480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194424300).

151865480 is an abundant number, since it is smaller than the sum of its proper divisors (236983120).

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

151865480 is a wasteful number, since it uses less digits than its factorization.

151865480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 38.

The square root of 151865480 is about 12323.3712919801. The cubic root of 151865480 is about 533.5228475807.

The spelling of 151865480 in words is "one hundred fifty-one million, eight hundred sixty-five thousand, four hundred eighty".