134490415288320 has 3328 divisors, whose sum is σ = 604932688281600. Its totient is φ = 27592721694720.

The previous prime is 134490415288319. The next prime is 134490415288381. The reversal of 134490415288320 is 23882514094431.

It is a happy number.

134490415288320 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 90 + 4 + 1 + 528 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 562721402761 + ... + 562721402999.

Almost surely, 2^{134490415288320} is an apocalyptic number.

134490415288320 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 134490415288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302466344140800).

134490415288320 is an abundant number, since it is smaller than the sum of its proper divisors (470442272993280).

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

134490415288320 is a wasteful number, since it uses less digits than its factorization.

134490415288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 134490415288320 in words is "one hundred thirty-four trillion, four hundred ninety billion, four hundred fifteen million, two hundred eighty-eight thousand, three hundred twenty".