132651000 has 256 divisors, whose sum is σ = 488592000. Its totient is φ = 33292800.

The previous prime is 132650971. The next prime is 132651011. The reversal of 132651000 is 156231.

The cubic root of 132651000 is 510.

It is a perfect power (a cube), and thus also a powerful number.

132651000 is a `hidden beast` number, since 13 + 2 + 651 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7802992 + ... + 7803008.

Almost surely, 2^132651000 is an apocalyptic number.

132651000 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 132651000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244296000).

132651000 is an abundant number, since it is smaller than the sum of its proper divisors (355941000).

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

132651000 is an equidigital number, since it uses as much as digits as its factorization.

132651000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132651000 is about 11517.4215864489.

It can be divided in two parts, 1326 and 51000, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 132651000 in words is "one hundred thirty-two million, six hundred fifty-one thousand".