136147400086932 has 192 divisors, whose sum is σ = 381852539228160. Its totient is φ = 41701541482368.

The previous prime is 136147400086931. The next prime is 136147400086993. The reversal of 136147400086932 is 239680004741631.

136147400086932 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 474 + 0 + 0 + 0 + 86 + 93 + 2 = 666.

It is a super-2 number, since 2×136147400086932² (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 not an unprimeable number, because it can be changed into a prime (136147400086931) 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, 504632623 + ... + 504902345.

It is an arithmetic number, because the mean of its divisors is an integer number (1988815308480).

Almost surely, 2^{136147400086932} is an apocalyptic number.

136147400086932 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 136147400086932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190926269614080).

136147400086932 is an abundant number, since it is smaller than the sum of its proper divisors (245705139141228).

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

136147400086932 is a wasteful number, since it uses less digits than its factorization.

136147400086932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271379 (or 271371 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 136147400086932 in words is "one hundred thirty-six trillion, one hundred forty-seven billion, four hundred million, eighty-six thousand, nine hundred thirty-two".