134652426133152 has 192 divisors, whose sum is σ = 359379273052800. Its totient is φ = 44139424972800.

The previous prime is 134652426133111. The next prime is 134652426133171. The reversal of 134652426133152 is 251331624256431.

134652426133152 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1487350224 + ... + 1487440752.

It is an arithmetic number, because the mean of its divisors is an integer number (1871767047150).

Almost surely, 2^{134652426133152} is an apocalyptic number.

134652426133152 is a gapful number since it is divisible by the number (12) 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 134652426133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179689636526400).

134652426133152 is an abundant number, since it is smaller than the sum of its proper divisors (224726846919648).

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

134652426133152 is a wasteful number, since it uses less digits than its factorization.

134652426133152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91679 (or 91671 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 134652426133152 in words is "one hundred thirty-four trillion, six hundred fifty-two billion, four hundred twenty-six million, one hundred thirty-three thousand, one hundred fifty-two".