132756070500 has 192 divisors, whose sum is σ = 430282944000. Its totient is φ = 35340364800.

The previous prime is 132756070487. The next prime is 132756070537. The reversal of 132756070500 is 5070657231.

132756070500 is a `hidden beast` number, since 1 + 3 + 27 + 5 + 60 + 70 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8078292 + ... + 8094708.

It is an arithmetic number, because the mean of its divisors is an integer number (2241057000).

Almost surely, 2^132756070500 is an apocalyptic number.

132756070500 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 132756070500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215141472000).

132756070500 is an abundant number, since it is smaller than the sum of its proper divisors (297526873500).

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

132756070500 is a wasteful number, since it uses less digits than its factorization.

132756070500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17044 (or 17026 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 132756070500 in words is "one hundred thirty-two billion, seven hundred fifty-six million, seventy thousand, five hundred".