10132004004354 has 96 divisors (see below), whose sum is σ = 22843748304000. Its totient is φ = 3241633312512.

The previous prime is 10132004004349. The next prime is 10132004004371. The reversal of 10132004004354 is 45340040023101.

It is a happy number.

10132004004354 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 200 + 400 + 4 + 3 + 54 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329727339 + ... + 329758065.

It is an arithmetic number, because the mean of its divisors is an integer number (237955711500).

Almost surely, 2^{10132004004354} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132004004354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11421874152000).

10132004004354 is an abundant number, since it is smaller than the sum of its proper divisors (12711744299646).

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

10132004004354 is a wasteful number, since it uses less digits than its factorization.

10132004004354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34472 (or 34469 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10132004004354 its reverse (45340040023101), we get a palindrome (55472044027455).

The spelling of 10132004004354 in words is "ten trillion, one hundred thirty-two billion, four million, four thousand, three hundred fifty-four".