151047936 has 216 divisors, whose sum is σ = 493053680. Its totient is φ = 45342720.

The previous prime is 151047913. The next prime is 151047947. The reversal of 151047936 is 639740151.

151047936 is a `hidden beast` number, since 151 + 0 + 479 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 151047936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3684076 + ... + 3684116.

Almost surely, 2^151047936 is an apocalyptic number.

151047936 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 151047936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246526840).

151047936 is an abundant number, since it is smaller than the sum of its proper divisors (342005744).

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

151047936 is an equidigital number, since it uses as much as digits as its factorization.

151047936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 151047936 is about 12290.1560608480. The cubic root of 151047936 is about 532.5637455923.

The spelling of 151047936 in words is "one hundred fifty-one million, forty-seven thousand, nine hundred thirty-six".