133627956000 has 1536 divisors, whose sum is σ = 593446404096. Its totient is φ = 25436160000.

The previous prime is 133627955987. The next prime is 133627956019. The reversal of 133627956000 is 659726331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 738275910 + ... + 738276090.

It is an arithmetic number, because the mean of its divisors is an integer number (386358336).

Almost surely, 2^133627956000 is an apocalyptic number.

133627956000 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 133627956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296723202048).

133627956000 is an abundant number, since it is smaller than the sum of its proper divisors (459818448096).

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

133627956000 is a wasteful number, since it uses less digits than its factorization.

133627956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 133627956000 in words is "one hundred thirty-three billion, six hundred twenty-seven million, nine hundred fifty-six thousand".