152621140081086 has 256 divisors, whose sum is σ = 352844510054400. Its totient is φ = 48864732364800.

The previous prime is 152621140081073. The next prime is 152621140081097. The reversal of 152621140081086 is 680180041126251.

152621140081086 is a `hidden beast` number, since 1 + 5 + 2 + 621 + 1 + 4 + 0 + 0 + 8 + 10 + 8 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50187811726 + ... + 50187814766.

It is an arithmetic number, because the mean of its divisors is an integer number (1378298867400).

Almost surely, 2^{152621140081086} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152621140081086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176422255027200).

152621140081086 is an abundant number, since it is smaller than the sum of its proper divisors (200223369973314).

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

152621140081086 is a wasteful number, since it uses less digits than its factorization.

152621140081086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 152621140081086 in words is "one hundred fifty-two trillion, six hundred twenty-one billion, one hundred forty million, eighty-one thousand, eighty-six".