134762028720 has 320 divisors, whose sum is σ = 503533200384. Its totient is φ = 29410754560.

The previous prime is 134762028689. The next prime is 134762028769. The reversal of 134762028720 is 27820267431.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966964 + ... + 1097516.

Almost surely, 2^134762028720 is an apocalyptic number.

134762028720 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 134762028720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251766600192).

134762028720 is an abundant number, since it is smaller than the sum of its proper divisors (368771171664).

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

134762028720 is a wasteful number, since it uses less digits than its factorization.

134762028720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130620 (or 130614 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 134762028720 in words is "one hundred thirty-four billion, seven hundred sixty-two million, twenty-eight thousand, seven hundred twenty".