134506812240 has 120 divisors (see below), whose sum is σ = 451795223880. Its totient is φ = 35862408192.

The previous prime is 134506812131. The next prime is 134506812331. The reversal of 134506812240 is 42218605431.

It is a happy number.

134506812240 is a `hidden beast` number, since 1 + 34 + 506 + 81 + 2 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4058709264 + 130448102976 = 63708^2 + 361176^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×134506812240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134506812195 and 134506812204.

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, 5642266 + ... + 5666054.

It is an arithmetic number, because the mean of its divisors is an integer number (3764960199).

Almost surely, 2^134506812240 is an apocalyptic number.

134506812240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134506812240 is an abundant number, since it is smaller than the sum of its proper divisors (317288411640).

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

134506812240 is a wasteful number, since it uses less digits than its factorization.

134506812240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31661 (or 31652 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 134506812240 in words is "one hundred thirty-four billion, five hundred six million, eight hundred twelve thousand, two hundred forty".