134131151424000 has 160 divisors (see below), whose sum is σ = 445952546335296. Its totient is φ = 35768306995200.

The previous prime is 134131151423881. The next prime is 134131151424019. The reversal of 134131151424000 is 424151131431.

It is a happy number.

134131151424000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349107874 + ... + 349491873.

Almost surely, 2^{134131151424000} is an apocalyptic number.

134131151424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134131151424000 is an abundant number, since it is smaller than the sum of its proper divisors (311821394911296).

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

134131151424000 is an frugal number, since it uses more digits than its factorization.

134131151424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698599783 (or 698599757 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 134131151424000 in words is "one hundred thirty-four trillion, one hundred thirty-one billion, one hundred fifty-one million, four hundred twenty-four thousand".