1245736128 has 448 divisors, whose sum is σ = 4358688768. Its totient is φ = 305233920.

The previous prime is 1245736111. The next prime is 1245736133. The reversal of 1245736128 is 8216375421.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (80640) is a multiple of the sum of its prime factors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26505001 + ... + 26505047.

It is an arithmetic number, because the mean of its divisors is an integer number (9729216).

Almost surely, 2^1245736128 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 1245736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179344384).

1245736128 is an abundant number, since it is smaller than the sum of its proper divisors (3112952640).

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

1245736128 is a wasteful number, since it uses less digits than its factorization.

1245736128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 1245736128 is about 35294.9872928154. The cubic root of 1245736128 is about 1075.9911185311.

The spelling of 1245736128 in words is "one billion, two hundred forty-five million, seven hundred thirty-six thousand, one hundred twenty-eight".