136742400 has 180 divisors, whose sum is σ = 489775572. Its totient is φ = 36433920.

The previous prime is 136742399. The next prime is 136742401. The reversal of 136742400 is 4247631.

It is an interprime number because it is at equal distance from previous prime (136742399) and next prime (136742401).

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136742401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114607 + ... + 115793.

Almost surely, 2^136742400 is an apocalyptic number.

136742400 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 136742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244887786).

136742400 is an abundant number, since it is smaller than the sum of its proper divisors (353033172).

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

136742400 is a wasteful number, since it uses less digits than its factorization.

136742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 136742400 is about 11693.6906064766. The cubic root of 136742400 is about 515.1903654179.

The spelling of 136742400 in words is "one hundred thirty-six million, seven hundred forty-two thousand, four hundred".