151664138900 has 72 divisors (see below), whose sum is σ = 346692185280. Its totient is φ = 57429699840.

The previous prime is 151664138869. The next prime is 151664138911. The reversal of 151664138900 is 9831466151.

151664138900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151664138900² (a number of 23 digits) 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2568104 + ... + 2626496.

It is an arithmetic number, because the mean of its divisors is an integer number (4815169240).

Almost surely, 2^151664138900 is an apocalyptic number.

151664138900 is a gapful number since it is divisible by the number (10) 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 151664138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173346092640).

151664138900 is an abundant number, since it is smaller than the sum of its proper divisors (195028046380).

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

151664138900 is a wasteful number, since it uses less digits than its factorization.

151664138900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59793 (or 59786 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 151664138900 in words is "one hundred fifty-one billion, six hundred sixty-four million, one hundred thirty-eight thousand, nine hundred".