151953408 has 140 divisors (see below), whose sum is σ = 455938890. Its totient is φ = 50429952.

The previous prime is 151953407. The next prime is 151953481. The reversal of 151953408 is 804359151.

It can be written as a sum of positive squares in only one way, i.e., 95883264 + 56070144 = 9792^2 + 7488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (151953401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663438 + ... + 663666.

Almost surely, 2^151953408 is an apocalyptic number.

151953408 is a gapful number since it is divisible by the number (18) 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 151953408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227969445).

151953408 is an abundant number, since it is smaller than the sum of its proper divisors (303985482).

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

151953408 is an frugal number, since it uses more digits than its factorization.

151953408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 151953408 is about 12326.9383060028. The cubic root of 151953408 is about 533.6257951502.

The spelling of 151953408 in words is "one hundred fifty-one million, nine hundred fifty-three thousand, four hundred eight".