136880822400 has 384 divisors, whose sum is σ = 531887861760. Its totient is φ = 30277324800.

The previous prime is 136880822399. The next prime is 136880822423. The reversal of 136880822400 is 4228088631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2050347 + ... + 2116053.

It is an arithmetic number, because the mean of its divisors is an integer number (1385124640).

Almost surely, 2^136880822400 is an apocalyptic number.

136880822400 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 136880822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265943930880).

136880822400 is an abundant number, since it is smaller than the sum of its proper divisors (395007039360).

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

136880822400 is a wasteful number, since it uses less digits than its factorization.

136880822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65772 (or 65755 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 136880822400 in words is "one hundred thirty-six billion, eight hundred eighty million, eight hundred twenty-two thousand, four hundred".