151000164 has 54 divisors (see below), whose sum is σ = 444017574. Its totient is φ = 43142400.

The previous prime is 151000153. The next prime is 151000169. The reversal of 151000164 is 461000151.

It can be written as a sum of positive squares in only one way, i.e., 123876900 + 27123264 = 11130^2 + 5208^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (151000169) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 41037 + ... + 44564.

Almost surely, 2^151000164 is an apocalyptic number.

151000164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151000164 is an abundant number, since it is smaller than the sum of its proper divisors (293017410).

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

151000164 is a wasteful number, since it uses less digits than its factorization.

151000164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85625 (or 85613 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 151000164 is about 12288.2124005081. The cubic root of 151000164 is about 532.5075949456.

The spelling of 151000164 in words is "one hundred fifty-one million, one hundred sixty-four", and thus it is an aban number.