134001792 has 96 divisors (see below), whose sum is σ = 387894780. Its totient is φ = 44402688.

The previous prime is 134001781. The next prime is 134001799. The reversal of 134001792 is 297100431.

It can be written as a sum of positive squares in 2 ways, for example, as 117158976 + 16842816 = 10824^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×134001792² = 35912960518422528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134001799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337338 + ... + 337734.

Almost surely, 2^134001792 is an apocalyptic number.

134001792 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 134001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193947390).

134001792 is an abundant number, since it is smaller than the sum of its proper divisors (253892988).

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

134001792 is a wasteful number, since it uses less digits than its factorization.

134001792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 134001792 is about 11575.9143051424. The cubic root of 134001792 is about 511.7252757945.

The spelling of 134001792 in words is "one hundred thirty-four million, one thousand, seven hundred ninety-two".