151515408 has 80 divisors (see below), whose sum is σ = 433472256. Its totient is φ = 45217920.

The previous prime is 151515391. The next prime is 151515409. The reversal of 151515408 is 804515151.

It is a super-2 number, since 2×151515408² = 45913837722812928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151515409) by changing a digit.

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, 33235 + ... + 37517.

Almost surely, 2^151515408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151515408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216736128).

151515408 is an abundant number, since it is smaller than the sum of its proper divisors (281956848).

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

151515408 is a wasteful number, since it uses less digits than its factorization.

151515408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 30.

The square root of 151515408 is about 12309.1595163927. The cubic root of 151515408 is about 533.1125829480.

The spelling of 151515408 in words is "one hundred fifty-one million, five hundred fifteen thousand, four hundred eight".