126851400 has 288 divisors, whose sum is σ = 476532000. Its totient is φ = 31000320.

The previous prime is 126851377. The next prime is 126851407. The reversal of 126851400 is 4158621.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (126851407) 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, 912531 + ... + 912669.

It is an arithmetic number, because the mean of its divisors is an integer number (1654625).

Almost surely, 2^126851400 is an apocalyptic number.

126851400 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 126851400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238266000).

126851400 is an abundant number, since it is smaller than the sum of its proper divisors (349680600).

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

126851400 is a wasteful number, since it uses less digits than its factorization.

126851400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 126851400 is about 11262.8326809910. The cubic root of 126851400 is about 502.4564453228.

The spelling of 126851400 in words is "one hundred twenty-six million, eight hundred fifty-one thousand, four hundred".