132678708480 has 1152 divisors, whose sum is σ = 524938444800. Its totient is φ = 31603654656.

The previous prime is 132678708467. The next prime is 132678708493. The reversal of 132678708480 is 84807876231.

It is a happy number.

132678708480 is a `hidden beast` number, since 1 + 3 + 26 + 78 + 70 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (132678708467) and next prime (132678708493).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1044714177 + ... + 1044714303.

Almost surely, 2^132678708480 is an apocalyptic number.

132678708480 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 132678708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262469222400).

132678708480 is an abundant number, since it is smaller than the sum of its proper divisors (392259736320).

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

132678708480 is a wasteful number, since it uses less digits than its factorization.

132678708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 132678708480 in words is "one hundred thirty-two billion, six hundred seventy-eight million, seven hundred eight thousand, four hundred eighty".