10145274000 has 160 divisors (see below), whose sum is σ = 33197863296. Its totient is φ = 2664921600.

The previous prime is 10145273989. The next prime is 10145274001. The reversal of 10145274000 is 47254101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10145274001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389382 + ... + 414618.

Almost surely, 2^10145274000 is an apocalyptic number.

10145274000 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 10145274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16598931648).

10145274000 is an abundant number, since it is smaller than the sum of its proper divisors (23052589296).

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

10145274000 is a wasteful number, since it uses less digits than its factorization.

10145274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25330 (or 25314 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The spelling of 10145274000 in words is "ten billion, one hundred forty-five million, two hundred seventy-four thousand".