126869952 has 168 divisors, whose sum is σ = 380520448. Its totient is φ = 37255680.

The previous prime is 126869947. The next prime is 126869957. The reversal of 126869952 is 259968621.

It is an interprime number because it is at equal distance from previous prime (126869947) and next prime (126869957).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126869957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998913 + ... + 999039.

Almost surely, 2^126869952 is an apocalyptic number.

126869952 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 126869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190260224).

126869952 is an abundant number, since it is smaller than the sum of its proper divisors (253650496).

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

126869952 is a wasteful number, since it uses less digits than its factorization.

126869952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 126869952 is about 11263.6562447546. The cubic root of 126869952 is about 502.4809388577.

It can be divided in two parts, 126 and 869952, that added together give a palindrome (870078).

The spelling of 126869952 in words is "one hundred twenty-six million, eight hundred sixty-nine thousand, nine hundred fifty-two".