136226487398400 has 2496 divisors, whose sum is σ = 588093061698560. Its totient is φ = 30649095290880.

The previous prime is 136226487398383. The next prime is 136226487398411. The reversal of 136226487398400 is 4893784622631.

136226487398400 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 2 + 64 + 87 + 3 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105031986552 + ... + 105031987848.

Almost surely, 2^{136226487398400} is an apocalyptic number.

136226487398400 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 136226487398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294046530849280).

136226487398400 is an abundant number, since it is smaller than the sum of its proper divisors (451866574300160).

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

136226487398400 is an frugal number, since it uses more digits than its factorization.

136226487398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 136226487398400 in words is "one hundred thirty-six trillion, two hundred twenty-six billion, four hundred eighty-seven million, three hundred ninety-eight thousand, four hundred".