134477159040 has 640 divisors, whose sum is σ = 581160096000. Its totient is φ = 28928212992.

The previous prime is 134477159039. The next prime is 134477159041. The reversal of 134477159040 is 40951774431.

It is a happy number.

134477159040 is a `hidden beast` number, since 13 + 4 + 4 + 7 + 7 + 1 + 590 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (134477159039) and next prime (134477159041).

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

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

It is not an unprimeable number, because it can be changed into a prime (134477159041) 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, 6158061 + ... + 6179859.

It is an arithmetic number, because the mean of its divisors is an integer number (908062650).

Almost surely, 2^134477159040 is an apocalyptic number.

134477159040 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 134477159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290580048000).

134477159040 is an abundant number, since it is smaller than the sum of its proper divisors (446682936960).

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

134477159040 is a wasteful number, since it uses less digits than its factorization.

134477159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21854 (or 21833 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 134477159040 in words is "one hundred thirty-four billion, four hundred seventy-seven million, one hundred fifty-nine thousand, forty".