1137249034240 has 448 divisors, whose sum is σ = 3057460992000. Its totient is φ = 402573230080.

The previous prime is 1137249034223. The next prime is 1137249034241. The reversal of 1137249034240 is 424309427311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1137249034193 and 1137249034202.

It is not an unprimeable number, because it can be changed into a prime (1137249034241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4758364041 + ... + 4758364279.

Almost surely, 2^{1137249034240} is an apocalyptic number.

1137249034240 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 1137249034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528730496000).

1137249034240 is an abundant number, since it is smaller than the sum of its proper divisors (1920211957760).

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

1137249034240 is a wasteful number, since it uses less digits than its factorization.

1137249034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 1137249034240 in words is "one trillion, one hundred thirty-seven billion, two hundred forty-nine million, thirty-four thousand, two hundred forty".