102477133000 has 128 divisors (see below), whose sum is σ = 265886375040. Its totient is φ = 36653280000.

The previous prime is 102477132941. The next prime is 102477133001. The reversal of 102477133000 is 331774201.

It is a self number, because there is not a number n which added to its sum of digits gives 102477133000.

It is not an unprimeable number, because it can be changed into a prime (102477133001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594639 + ... + 747361.

It is an arithmetic number, because the mean of its divisors is an integer number (2077237305).

Almost surely, 2^102477133000 is an apocalyptic number.

102477133000 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 102477133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132943187520).

102477133000 is an abundant number, since it is smaller than the sum of its proper divisors (163409242040).

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

102477133000 is a wasteful number, since it uses less digits than its factorization.

102477133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152816 (or 152802 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The spelling of 102477133000 in words is "one hundred two billion, four hundred seventy-seven million, one hundred thirty-three thousand".