102148595392140 has 768 divisors, whose sum is σ = 374977362493440. Its totient is φ = 22810433679360.

The previous prime is 102148595392093. The next prime is 102148595392153. The reversal of 102148595392140 is 41293595841201.

102148595392140 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 8 + 595 + 3 + 9 + 2 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 896746429 + ... + 896860331.

It is an arithmetic number, because the mean of its divisors is an integer number (488251774080).

Almost surely, 2^{102148595392140} is an apocalyptic number.

102148595392140 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 102148595392140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488681246720).

102148595392140 is an abundant number, since it is smaller than the sum of its proper divisors (272828767101300).

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

102148595392140 is a wasteful number, since it uses less digits than its factorization.

102148595392140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114139 (or 114131 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 102148595392140 in words is "one hundred two trillion, one hundred forty-eight billion, five hundred ninety-five million, three hundred ninety-two thousand, one hundred forty".