151739136 has 144 divisors (see below), whose sum is σ = 464805600. Its totient is φ = 48771072.

The previous prime is 151739129. The next prime is 151739167. The reversal of 151739136 is 631937151.

151739136 is a `hidden beast` number, since 1 + 517 + 3 + 9 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 151739136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200070 + ... + 200826.

Almost surely, 2^151739136 is an apocalyptic number.

151739136 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 151739136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232402800).

151739136 is an abundant number, since it is smaller than the sum of its proper divisors (313066464).

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

151739136 is an equidigital number, since it uses as much as digits as its factorization.

151739136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 791 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 151739136 is about 12318.2440307050. The cubic root of 151739136 is about 533.3748523233.

The spelling of 151739136 in words is "one hundred fifty-one million, seven hundred thirty-nine thousand, one hundred thirty-six".