136428799584 has 576 divisors, whose sum is σ = 482078822400. Its totient is φ = 33312384000.

The previous prime is 136428799553. The next prime is 136428799621. The reversal of 136428799584 is 485997824631.

It is a happy number.

It is a super-2 number, since 2×136428799584² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 148453077 + ... + 148453995.

It is an arithmetic number, because the mean of its divisors is an integer number (836942400).

Almost surely, 2^136428799584 is an apocalyptic number.

136428799584 is a gapful number since it is divisible by the number (14) 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 136428799584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241039411200).

136428799584 is an abundant number, since it is smaller than the sum of its proper divisors (345650022816).

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

136428799584 is a wasteful number, since it uses less digits than its factorization.

136428799584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1112 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 66.

The spelling of 136428799584 in words is "one hundred thirty-six billion, four hundred twenty-eight million, seven hundred ninety-nine thousand, five hundred eighty-four".