126965809152 has 1024 divisors, whose sum is σ = 493242624000. Its totient is φ = 31340888064.

The previous prime is 126965809151. The next prime is 126965809163. The reversal of 126965809152 is 251908569621.

126965809152 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 6 + 580 + 9 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×126965809152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (126965809151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1529708503 + ... + 1529708585.

It is an arithmetic number, because the mean of its divisors is an integer number (481682250).

Almost surely, 2^126965809152 is an apocalyptic number.

126965809152 is a gapful number since it is divisible by the number (12) 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 126965809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246621312000).

126965809152 is an abundant number, since it is smaller than the sum of its proper divisors (366276814848).

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

126965809152 is an equidigital number, since it uses as much as digits as its factorization.

126965809152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 126965809152 in words is "one hundred twenty-six billion, nine hundred sixty-five million, eight hundred nine thousand, one hundred fifty-two".