151008010900 has 18 divisors (see below), whose sum is σ = 327687383870. Its totient is φ = 60403204320.

The previous prime is 151008010891. The next prime is 151008010949. The reversal of 151008010900 is 9010800151.

It can be written as a sum of positive squares in 3 ways, for example, as 125484804 + 150882526096 = 11202^2 + 388436^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 755039955 + ... + 755040154.

Almost surely, 2^151008010900 is an apocalyptic number.

151008010900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151008010900 is an abundant number, since it is smaller than the sum of its proper divisors (176679372970).

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

151008010900 is a wasteful number, since it uses less digits than its factorization.

151008010900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510080123 (or 1510080116 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 25.

The spelling of 151008010900 in words is "one hundred fifty-one billion, eight million, ten thousand, nine hundred".