125755901184 has 288 divisors, whose sum is σ = 363940577280. Its totient is φ = 38398427136.

The previous prime is 125755901149. The next prime is 125755901237. The reversal of 125755901184 is 481109557521.

125755901184 = T₃₃₄₇₂ + T₃₃₄₇₃ + ... + T₃₃₆₉₄.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136839477 + ... + 136840395.

It is an arithmetic number, because the mean of its divisors is an integer number (1263682560).

Almost surely, 2^125755901184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125755901184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181970288640).

125755901184 is an abundant number, since it is smaller than the sum of its proper divisors (238184676096).

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

125755901184 is a wasteful number, since it uses less digits than its factorization.

125755901184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 48.

The spelling of 125755901184 in words is "one hundred twenty-five billion, seven hundred fifty-five million, nine hundred one thousand, one hundred eighty-four".