193007136 has 96 divisors (see below), whose sum is σ = 581188608. Its totient is φ = 54938880.

The previous prime is 193007117. The next prime is 193007161. The reversal of 193007136 is 631700391.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337731 + ... + 338301.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048).

Almost surely, 2^193007136 is an apocalyptic number.

193007136 is a gapful number since it is divisible by the number (16) 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 193007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290594304).

193007136 is an abundant number, since it is smaller than the sum of its proper divisors (388181472).

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

193007136 is a wasteful number, since it uses less digits than its factorization.

193007136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 193007136 is about 13892.7008173357. The cubic root of 193007136 is about 577.9067788660.

The spelling of 193007136 in words is "one hundred ninety-three million, seven thousand, one hundred thirty-six".