1257140145536 has 64 divisors (see below), whose sum is σ = 2735006763600. Its totient is φ = 570827120640.

The previous prime is 1257140145509. The next prime is 1257140145553. The reversal of 1257140145536 is 6355410417521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 873380 + ... + 1810268.

Almost surely, 2^{1257140145536} is an apocalyptic number.

1257140145536 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 1257140145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367503381800).

1257140145536 is an abundant number, since it is smaller than the sum of its proper divisors (1477866618064).

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

1257140145536 is an equidigital number, since it uses as much as digits as its factorization.

1257140145536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937867 (or 937855 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 44.

The spelling of 1257140145536 in words is "one trillion, two hundred fifty-seven billion, one hundred forty million, one hundred forty-five thousand, five hundred thirty-six".