140182337028096 has 1632 divisors, whose sum is σ = 478959857913600. Its totient is φ = 40438805299200.

The previous prime is 140182337028079. The next prime is 140182337028119. The reversal of 140182337028096 is 690820733281041.

It is a happy number.

140182337028096 is a `hidden beast` number, since 1 + 4 + 0 + 182 + 3 + 370 + 2 + 8 + 0 + 96 = 666.

It is a super-2 number, since 2×140182337028096² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 664371265431 + ... + 664371265641.

Almost surely, 2^{140182337028096} is an apocalyptic number.

140182337028096 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 140182337028096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239479928956800).

140182337028096 is an abundant number, since it is smaller than the sum of its proper divisors (338777520885504).

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

140182337028096 is a wasteful number, since it uses less digits than its factorization.

140182337028096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 140182337028096 in words is "one hundred forty trillion, one hundred eighty-two billion, three hundred thirty-seven million, twenty-eight thousand, ninety-six".