126340671600 has 360 divisors, whose sum is σ = 515089188432. Its totient is φ = 28271923200.

The previous prime is 126340671557. The next prime is 126340671601. The reversal of 126340671600 is 6176043621.

It is a happy number.

126340671600 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 40 + 6 + 7 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126340671601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 392092 + ... + 637508.

Almost surely, 2^126340671600 is an apocalyptic number.

126340671600 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 126340671600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257544594216).

126340671600 is an abundant number, since it is smaller than the sum of its proper divisors (388748516832).

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

126340671600 is a wasteful number, since it uses less digits than its factorization.

126340671600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245465 (or 245451 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 126340671600 in words is "one hundred twenty-six billion, three hundred forty million, six hundred seventy-one thousand, six hundred".