1257149183136 has 384 divisors, whose sum is σ = 4269410353152. Its totient is φ = 314333568000.

The previous prime is 1257149183131. The next prime is 1257149183141. The reversal of 1257149183136 is 6313819417521.

It is an interprime number because it is at equal distance from previous prime (1257149183131) and next prime (1257149183141).

It is a super-4 number, since 4×1257149183136⁴ (a number of 49 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1257149183131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43753671 + ... + 43782393.

It is an arithmetic number, because the mean of its divisors is an integer number (11118256128).

Almost surely, 2^{1257149183136} is an apocalyptic number.

1257149183136 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 1257149183136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134705176576).

1257149183136 is an abundant number, since it is smaller than the sum of its proper divisors (3012261170016).

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

1257149183136 is a wasteful number, since it uses less digits than its factorization.

1257149183136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28976 (or 28968 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The spelling of 1257149183136 in words is "one trillion, two hundred fifty-seven billion, one hundred forty-nine million, one hundred eighty-three thousand, one hundred thirty-six".