134378156640 has 576 divisors, whose sum is σ = 558210320640. Its totient is φ = 26858926080.

The previous prime is 134378156551. The next prime is 134378156641. The reversal of 134378156640 is 46651873431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 134378156640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134378156641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5797875 + ... + 5821005.

It is an arithmetic number, because the mean of its divisors is an integer number (969115140).

Almost surely, 2^134378156640 is an apocalyptic number.

134378156640 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 134378156640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279105160320).

134378156640 is an abundant number, since it is smaller than the sum of its proper divisors (423832164000).

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

134378156640 is a wasteful number, since it uses less digits than its factorization.

134378156640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23195 (or 23180 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 134378156640 in words is "one hundred thirty-four billion, three hundred seventy-eight million, one hundred fifty-six thousand, six hundred forty".