102169439136 has 144 divisors (see below), whose sum is σ = 310459149000. Its totient is φ = 31758925824.

The previous prime is 102169439123. The next prime is 102169439137. The reversal of 102169439136 is 631934961201.

102169439136 is a `hidden beast` number, since 1 + 0 + 21 + 69 + 439 + 136 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81999758736 + 20169680400 = 286356^2 + 142020^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 102169439091 and 102169439100.

It is not an unprimeable number, because it can be changed into a prime (102169439137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437940 + ... + 629388.

Almost surely, 2^102169439136 is an apocalyptic number.

102169439136 is a gapful number since it is divisible by the number (16) 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 102169439136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155229574500).

102169439136 is an abundant number, since it is smaller than the sum of its proper divisors (208289709864).

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

102169439136 is a wasteful number, since it uses less digits than its factorization.

102169439136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191591 (or 191580 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 102169439136 in words is "one hundred two billion, one hundred sixty-nine million, four hundred thirty-nine thousand, one hundred thirty-six".