132764610048 has 640 divisors, whose sum is σ = 447649348608. Its totient is φ = 34101264384.

The previous prime is 132764610023. The next prime is 132764610089. The reversal of 132764610048 is 840016467231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 132764609991 and 132764610009.

It is a congruent number.

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, 453121390 + ... + 453121682.

Almost surely, 2^132764610048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132764610048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223824674304).

132764610048 is an abundant number, since it is smaller than the sum of its proper divisors (314884738560).

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

132764610048 is a wasteful number, since it uses less digits than its factorization.

132764610048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 132764610048 in words is "one hundred thirty-two billion, seven hundred sixty-four million, six hundred ten thousand, forty-eight".