129225151440 has 1600 divisors, whose sum is σ = 604615587840. Its totient is φ = 24768737280.

The previous prime is 129225151423. The next prime is 129225151477. The reversal of 129225151440 is 44151522921.

129225151440 is a `hidden beast` number, since 1 + 2 + 92 + 2 + 51 + 514 + 4 + 0 = 666.

It is a Cunningham number, because it is equal to 359479²-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 129225151395 and 129225151404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 407650162 + ... + 407650478.

Almost surely, 2^129225151440 is an apocalyptic number.

129225151440 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 129225151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302307793920).

129225151440 is an abundant number, since it is smaller than the sum of its proper divisors (475390436400).

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

129225151440 is a wasteful number, since it uses less digits than its factorization.

129225151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 129225151440 in words is "one hundred twenty-nine billion, two hundred twenty-five million, one hundred fifty-one thousand, four hundred forty".