125420064 has 288 divisors, whose sum is σ = 442423296. Its totient is φ = 30205440.

The previous prime is 125420063. The next prime is 125420069. The reversal of 125420064 is 460024521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125420063) 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, 2668489 + ... + 2668535.

It is an arithmetic number, because the mean of its divisors is an integer number (1536192).

Almost surely, 2^125420064 is an apocalyptic number.

125420064 is a gapful number since it is divisible by the number (14) 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 125420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221211648).

125420064 is an abundant number, since it is smaller than the sum of its proper divisors (317003232).

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

125420064 is a wasteful number, since it uses less digits than its factorization.

125420064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 125420064 is about 11199.1099646356. The cubic root of 125420064 is about 500.5594591109.

Adding to 125420064 its reverse (460024521), we get a palindrome (585444585).

It can be divided in two parts, 1254 and 20064, that multiplied together give a square (25160256 = 5016²).

The spelling of 125420064 in words is "one hundred twenty-five million, four hundred twenty thousand, sixty-four".