132153418208700 has 432 divisors, whose sum is σ = 476234832353280. Its totient is φ = 30026308608000.

The previous prime is 132153418208683. The next prime is 132153418208719. The reversal of 132153418208700 is 7802814351231.

132153418208700 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 534 + 18 + 20 + 87 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 749416540 + ... + 749592860.

Almost surely, 2^{132153418208700} is an apocalyptic number.

132153418208700 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 132153418208700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238117416176640).

132153418208700 is an abundant number, since it is smaller than the sum of its proper divisors (344081414144580).

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

132153418208700 is a wasteful number, since it uses less digits than its factorization.

132153418208700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177058 (or 177048 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 132153418208700 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred eighteen million, two hundred eight thousand, seven hundred".