102552540402132 has 192 divisors, whose sum is σ = 296602222694400. Its totient is φ = 30452366845440.

The previous prime is 102552540402127. The next prime is 102552540402139. The reversal of 102552540402132 is 231204045255201.

102552540402132 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 52 + 540 + 40 + 21 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102552540402139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37144407 + ... + 39809697.

It is an arithmetic number, because the mean of its divisors is an integer number (1544803243200).

Almost surely, 2^{102552540402132} is an apocalyptic number.

102552540402132 is a gapful number since it is divisible by the number (12) 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 102552540402132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148301111347200).

102552540402132 is an abundant number, since it is smaller than the sum of its proper divisors (194049682292268).

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

102552540402132 is a wasteful number, since it uses less digits than its factorization.

102552540402132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666443 (or 2666435 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 102552540402132 its reverse (231204045255201), we get a palindrome (333756585657333).

The spelling of 102552540402132 in words is "one hundred two trillion, five hundred fifty-two billion, five hundred forty million, four hundred two thousand, one hundred thirty-two".