151311480 has 128 divisors (see below), whose sum is σ = 480798720. Its totient is φ = 38016000.

The previous prime is 151311469. The next prime is 151311499. The reversal of 151311480 is 84113151.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 151311480.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 201105 + ... + 201855.

It is an arithmetic number, because the mean of its divisors is an integer number (3756240).

Almost surely, 2^151311480 is an apocalyptic number.

151311480 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 151311480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240399360).

151311480 is an abundant number, since it is smaller than the sum of its proper divisors (329487240).

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

151311480 is a wasteful number, since it uses less digits than its factorization.

151311480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 151311480 is about 12300.8731397409. The cubic root of 151311480 is about 532.8732994863.

The spelling of 151311480 in words is "one hundred fifty-one million, three hundred eleven thousand, four hundred eighty".