134690242500 has 900 divisors, whose sum is σ = 506767282560. Its totient is φ = 31101840000.

The previous prime is 134690242487. The next prime is 134690242517. The reversal of 134690242500 is 5242096431.

It is a happy number.

134690242500 is a `hidden beast` number, since 1 + 3 + 46 + 90 + 24 + 2 + 500 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×134690242500² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 563557381 + ... + 563557619.

Almost surely, 2^134690242500 is an apocalyptic number.

134690242500 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 134690242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253383641280).

134690242500 is an abundant number, since it is smaller than the sum of its proper divisors (372077040060).

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

134690242500 is a wasteful number, since it uses less digits than its factorization.

134690242500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 134690242500 in words is "one hundred thirty-four billion, six hundred ninety million, two hundred forty-two thousand, five hundred".