151791948 has 96 divisors (see below), whose sum is σ = 490667520. Its totient is φ = 39424320.

The previous prime is 151791919. The next prime is 151791961. The reversal of 151791948 is 849197151.

It is a happy number.

151791948 is a `hidden beast` number, since 1 + 517 + 91 + 9 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811 + ... + 17442.

It is an arithmetic number, because the mean of its divisors is an integer number (5111120).

Almost surely, 2^151791948 is an apocalyptic number.

151791948 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 151791948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245333760).

151791948 is an abundant number, since it is smaller than the sum of its proper divisors (338875572).

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

151791948 is a wasteful number, since it uses less digits than its factorization.

151791948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18284 (or 18276 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The square root of 151791948 is about 12320.3874939062. The cubic root of 151791948 is about 533.4367245735.

The spelling of 151791948 in words is "one hundred fifty-one million, seven hundred ninety-one thousand, nine hundred forty-eight".