136096646400 has 1944 divisors, whose sum is σ = 607795598592. Its totient is φ = 28753920000.

The previous prime is 136096646393. The next prime is 136096646407. The reversal of 136096646400 is 4646690631.

It is an interprime number because it is at equal distance from previous prime (136096646393) and next prime (136096646407).

It is a super-2 number, since 2×136096646400² (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 not an unprimeable number, because it can be changed into a prime (136096646407) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3319430380 + ... + 3319430420.

Almost surely, 2^136096646400 is an apocalyptic number.

136096646400 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 136096646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303897799296).

136096646400 is an abundant number, since it is smaller than the sum of its proper divisors (471698952192).

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

136096646400 is a wasteful number, since it uses less digits than its factorization.

136096646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 136096646400 in words is "one hundred thirty-six billion, ninety-six million, six hundred forty-six thousand, four hundred".