127734863400 has 72 divisors (see below), whose sum is σ = 428976255630. Its totient is φ = 34062629760.

The previous prime is 127734863387. The next prime is 127734863413. The reversal of 127734863400 is 4368437721.

127734863400 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 3 + 4 + 8 + 634 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (127734863387) and next prime (127734863413).

It can be written as a sum of positive squares in 3 ways, for example, as 96518334276 + 31216529124 = 310674^2 + 176682^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35480107 + ... + 35483706.

Almost surely, 2^127734863400 is an apocalyptic number.

127734863400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127734863400 is an abundant number, since it is smaller than the sum of its proper divisors (301241392230).

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

127734863400 is a wasteful number, since it uses less digits than its factorization.

127734863400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70963835 (or 70963823 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 127734863400 in words is "one hundred twenty-seven billion, seven hundred thirty-four million, eight hundred sixty-three thousand, four hundred".