151918480 has 80 divisors (see below), whose sum is σ = 409795200. Its totient is φ = 51296256.

The previous prime is 151918457. The next prime is 151918537. The reversal of 151918480 is 84819151.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35496 + ... + 39544.

It is an arithmetic number, because the mean of its divisors is an integer number (5122440).

Almost surely, 2^151918480 is an apocalyptic number.

151918480 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 151918480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897600).

151918480 is an abundant number, since it is smaller than the sum of its proper divisors (257876720).

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

151918480 is a wasteful number, since it uses less digits than its factorization.

151918480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 37.

The square root of 151918480 is about 12325.5214899817. The cubic root of 151918480 is about 533.5849056207.

The spelling of 151918480 in words is "one hundred fifty-one million, nine hundred eighteen thousand, four hundred eighty".