134087639040 has 408 divisors, whose sum is σ = 489502999440. Its totient is φ = 33860616192.

The previous prime is 134087639011. The next prime is 134087639047. The reversal of 134087639040 is 40936780431.

134087639040 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 8 + 7 + 639 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134087639047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56032084 + ... + 56034476.

Almost surely, 2^134087639040 is an apocalyptic number.

134087639040 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 134087639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244751499720).

134087639040 is an abundant number, since it is smaller than the sum of its proper divisors (355415360400).

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

134087639040 is an equidigital number, since it uses as much as digits as its factorization.

134087639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 134087639040 in words is "one hundred thirty-four billion, eighty-seven million, six hundred thirty-nine thousand, forty".