1253192143140 has 720 divisors, whose sum is σ = 4692218243328. Its totient is φ = 279044849664.

The previous prime is 1253192143139. The next prime is 1253192143157. The reversal of 1253192143140 is 413412913521.

1253192143140 is a `hidden beast` number, since 1 + 2 + 5 + 319 + 21 + 4 + 314 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1253192143095 and 1253192143104.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 958830367 + ... + 958831673.

Almost surely, 2^{1253192143140} is an apocalyptic number.

1253192143140 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 1253192143140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346109121664).

1253192143140 is an abundant number, since it is smaller than the sum of its proper divisors (3439026100188).

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

1253192143140 is a wasteful number, since it uses less digits than its factorization.

1253192143140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1253192143140 in words is "one trillion, two hundred fifty-three billion, one hundred ninety-two million, one hundred forty-three thousand, one hundred forty".