134151120 has 160 divisors (see below), whose sum is σ = 466041600. Its totient is φ = 35467776.

The previous prime is 134151091. The next prime is 134151133. The reversal of 134151120 is 21151431.

134151120 is a `hidden beast` number, since 134 + 1 + 511 + 20 = 666.

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 = 134151093 and 134151102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373501 + ... + 373859.

It is an arithmetic number, because the mean of its divisors is an integer number (2912760).

Almost surely, 2^134151120 is an apocalyptic number.

134151120 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 134151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233020800).

134151120 is an abundant number, since it is smaller than the sum of its proper divisors (331890480).

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

134151120 is a wasteful number, since it uses less digits than its factorization.

134151120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 134151120 is about 11582.3624533167. The cubic root of 134151120 is about 511.9152895336.

It can be divided in two parts, 13415 and 1120, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 134151120 in words is "one hundred thirty-four million, one hundred fifty-one thousand, one hundred twenty".