151086936 has 256 divisors, whose sum is σ = 535449600. Its totient is φ = 34214400.

The previous prime is 151086913. The next prime is 151086937. The reversal of 151086936 is 639680151.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 151086894 and 151086903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151086937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456291 + ... + 456621.

It is an arithmetic number, because the mean of its divisors is an integer number (2091600).

Almost surely, 2^151086936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151086936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267724800).

151086936 is an abundant number, since it is smaller than the sum of its proper divisors (384362664).

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

151086936 is a wasteful number, since it uses less digits than its factorization.

151086936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 151086936 is about 12291.7425941158. The cubic root of 151086936 is about 532.6095769562.

The spelling of 151086936 in words is "one hundred fifty-one million, eighty-six thousand, nine hundred thirty-six".