136476306400 has 288 divisors, whose sum is σ = 398386501632. Its totient is φ = 44675788800.

The previous prime is 136476306319. The next prime is 136476306521. The reversal of 136476306400 is 4603674631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10784877 + ... + 10797523.

It is an arithmetic number, because the mean of its divisors is an integer number (1383286464).

Almost surely, 2^136476306400 is an apocalyptic number.

136476306400 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 136476306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199193250816).

136476306400 is an abundant number, since it is smaller than the sum of its proper divisors (261910195232).

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

136476306400 is a wasteful number, since it uses less digits than its factorization.

136476306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12762 (or 12749 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 136476306400 in words is "one hundred thirty-six billion, four hundred seventy-six million, three hundred six thousand, four hundred".