151677456 has 160 divisors (see below), whose sum is σ = 492349440. Its totient is φ = 39232512.

The previous prime is 151677443. The next prime is 151677521. The reversal of 151677456 is 654776151.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 146316 + ... + 147348.

It is an arithmetic number, because the mean of its divisors is an integer number (3077184).

Almost surely, 2^151677456 is an apocalyptic number.

151677456 is a gapful number since it is divisible by the number (16) 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 151677456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246174720).

151677456 is an abundant number, since it is smaller than the sum of its proper divisors (340671984).

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

151677456 is a wasteful number, since it uses less digits than its factorization.

151677456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1087 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The square root of 151677456 is about 12315.7401726409. The cubic root of 151677456 is about 533.3025725314.

The spelling of 151677456 in words is "one hundred fifty-one million, six hundred seventy-seven thousand, four hundred fifty-six".