151381164 has 72 divisors (see below), whose sum is σ = 391600944. Its totient is φ = 45478400.

The previous prime is 151381121. The next prime is 151381177. The reversal of 151381164 is 461183151.

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, 198544 + ... + 199304.

It is an arithmetic number, because the mean of its divisors is an integer number (5438902).

Almost surely, 2^151381164 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 151381164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195800472).

151381164 is an abundant number, since it is smaller than the sum of its proper divisors (240219780).

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

151381164 is a wasteful number, since it uses less digits than its factorization.

151381164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 914 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 151381164 is about 12303.7052955604. The cubic root of 151381164 is about 532.9550889274.

The spelling of 151381164 in words is "one hundred fifty-one million, three hundred eighty-one thousand, one hundred sixty-four".