151083136 has 128 divisors (see below), whose sum is σ = 344188800. Its totient is φ = 65691648.

The previous prime is 151083091. The next prime is 151083143. The reversal of 151083136 is 631380151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×151083136² = 45652227967188992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2069596 + ... + 2069668.

It is an arithmetic number, because the mean of its divisors is an integer number (2688975).

Almost surely, 2^151083136 is an apocalyptic number.

151083136 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 151083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172094400).

151083136 is an abundant number, since it is smaller than the sum of its proper divisors (193105664).

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

151083136 is a wasteful number, since it uses less digits than its factorization.

151083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 151083136 is about 12291.5880178275. The cubic root of 151083136 is about 532.6051116829.

The spelling of 151083136 in words is "one hundred fifty-one million, eighty-three thousand, one hundred thirty-six".