136140480 has 224 divisors, whose sum is σ = 549127680. Its totient is φ = 31104000.

The previous prime is 136140469. The next prime is 136140481. The reversal of 136140480 is 84041631.

136140480 is a `hidden beast` number, since 1 + 3 + 614 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (136140481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59355 + ... + 61605.

Almost surely, 2^136140480 is an apocalyptic number.

136140480 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 136140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274563840).

136140480 is an abundant number, since it is smaller than the sum of its proper divisors (412987200).

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

136140480 is a wasteful number, since it uses less digits than its factorization.

136140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 136140480 is about 11667.9252654446. The cubic root of 136140480 is about 514.4333227093.

The spelling of 136140480 in words is "one hundred thirty-six million, one hundred forty thousand, four hundred eighty".