136238941440 has 864 divisors, whose sum is σ = 570511468800. Its totient is φ = 31115943936.

The previous prime is 136238941429. The next prime is 136238941463. The reversal of 136238941440 is 44149832631.

136238941440 is a `hidden beast` number, since 1 + 3 + 623 + 8 + 9 + 4 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×136238941440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106686082 + ... + 106687358.

It is an arithmetic number, because the mean of its divisors is an integer number (660314200).

Almost surely, 2^136238941440 is an apocalyptic number.

136238941440 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 136238941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285255734400).

136238941440 is an abundant number, since it is smaller than the sum of its proper divisors (434272527360).

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

136238941440 is an frugal number, since it uses more digits than its factorization.

136238941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 136238941440 in words is "one hundred thirty-six billion, two hundred thirty-eight million, nine hundred forty-one thousand, four hundred forty".