132151312055100 has 144 divisors (see below), whose sum is σ = 411822705597408. Its totient is φ = 32525384847360.

The previous prime is 132151312055099. The next prime is 132151312055137. The reversal of 132151312055100 is 1550213151231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28318912 + ... + 32653688.

It is an arithmetic number, because the mean of its divisors is an integer number (2859879899982).

Almost surely, 2^{132151312055100} is an apocalyptic number.

132151312055100 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 132151312055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205911352798704).

132151312055100 is an abundant number, since it is smaller than the sum of its proper divisors (279671393542308).

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

132151312055100 is a wasteful number, since it uses less digits than its factorization.

132151312055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342624 (or 4342617 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 132151312055100 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, three hundred twelve million, fifty-five thousand, one hundred".