135861120 has 192 divisors, whose sum is σ = 475768800. Its totient is φ = 35721216.

The previous prime is 135861109. The next prime is 135861137. The reversal of 135861120 is 21168531.

It is a tau number, because it is divible by the number of its divisors (192).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593166 + ... + 593394.

Almost surely, 2^135861120 is an apocalyptic number.

135861120 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 135861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237884400).

135861120 is an abundant number, since it is smaller than the sum of its proper divisors (339907680).

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

135861120 is a wasteful number, since it uses less digits than its factorization.

135861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 135861120 is about 11655.9478379066. The cubic root of 135861120 is about 514.0812096953.

It can be divided in two parts, 135861 and 120, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 135861120 in words is "one hundred thirty-five million, eight hundred sixty-one thousand, one hundred twenty".