126146700 has 144 divisors (see below), whose sum is σ = 427056000. Its totient is φ = 31855680.

The previous prime is 126146693. The next prime is 126146707. The reversal of 126146700 is 7641621.

It is an interprime number because it is at equal distance from previous prime (126146693) and next prime (126146707).

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

It is not an unprimeable number, because it can be changed into a prime (126146707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50071 + ... + 52529.

Almost surely, 2^126146700 is an apocalyptic number.

126146700 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 126146700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213528000).

126146700 is an abundant number, since it is smaller than the sum of its proper divisors (300909300).

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

126146700 is a wasteful number, since it uses less digits than its factorization.

126146700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 126146700 is about 11231.5047967759. The cubic root of 126146700 is about 501.5242817416.

It can be divided in two parts, 1261 and 46700, that added together give a square (47961 = 219²).

The spelling of 126146700 in words is "one hundred twenty-six million, one hundred forty-six thousand, seven hundred".