102139537500 has 864 divisors, whose sum is σ = 433769236992. Its totient is φ = 19569600000.

The previous prime is 102139537477. The next prime is 102139537543. The reversal of 102139537500 is 5735931201.

102139537500 is a `hidden beast` number, since 10 + 2 + 139 + 5 + 3 + 7 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 112612047 + ... + 112612953.

It is an arithmetic number, because the mean of its divisors is an integer number (502047728).

Almost surely, 2^102139537500 is an apocalyptic number.

102139537500 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 102139537500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216884618496).

102139537500 is an abundant number, since it is smaller than the sum of its proper divisors (331629699492).

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

102139537500 is a wasteful number, since it uses less digits than its factorization.

102139537500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 102139537500 in words is "one hundred two billion, one hundred thirty-nine million, five hundred thirty-seven thousand, five hundred".