136401120 has 72 divisors (see below), whose sum is σ = 465473736. Its totient is φ = 36373248.

The previous prime is 136401107. The next prime is 136401131. The reversal of 136401120 is 21104631.

It is a happy number.

136401120 is a `hidden beast` number, since 1 + 3 + 640 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×136401120³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 136401093 and 136401102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45922 + ... + 48801.

It is an arithmetic number, because the mean of its divisors is an integer number (6464913).

Almost surely, 2^136401120 is an apocalyptic number.

136401120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136401120 is an abundant number, since it is smaller than the sum of its proper divisors (329072616).

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

136401120 is a wasteful number, since it uses less digits than its factorization.

136401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94744 (or 94733 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 136401120 is about 11679.0890055689. The cubic root of 136401120 is about 514.7614064304.

Adding to 136401120 its reverse (21104631), we get a palindrome (157505751).

The spelling of 136401120 in words is "one hundred thirty-six million, four hundred one thousand, one hundred twenty".