134576240000 has 640 divisors, whose sum is σ = 378553824000. Its totient is φ = 47416320000.

The previous prime is 134576239951. The next prime is 134576240003. The reversal of 134576240000 is 42675431.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×134576240000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134576240003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1895439965 + ... + 1895440035.

It is an arithmetic number, because the mean of its divisors is an integer number (591490350).

Almost surely, 2^134576240000 is an apocalyptic number.

134576240000 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 134576240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189276912000).

134576240000 is an abundant number, since it is smaller than the sum of its proper divisors (243977584000).

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

134576240000 is an equidigital number, since it uses as much as digits as its factorization.

134576240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 134576240000 in words is "one hundred thirty-four billion, five hundred seventy-six million, two hundred forty thousand".