151215480 has 192 divisors, whose sum is σ = 537264000. Its totient is φ = 36661248.

The previous prime is 151215479. The next prime is 151215499. The reversal of 151215480 is 84512151.

It is a super-2 number, since 2×151215480² = 45732242783260800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369516 + ... + 369924.

It is an arithmetic number, because the mean of its divisors is an integer number (2798250).

Almost surely, 2^151215480 is an apocalyptic number.

151215480 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 151215480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268632000).

151215480 is an abundant number, since it is smaller than the sum of its proper divisors (386048520).

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

151215480 is a wasteful number, since it uses less digits than its factorization.

151215480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 151215480 is about 12296.9703585883. The cubic root of 151215480 is about 532.7605813166.

The spelling of 151215480 in words is "one hundred fifty-one million, two hundred fifteen thousand, four hundred eighty".