1370137440 has 384 divisors, whose sum is σ = 5303854080. Its totient is φ = 291201024.

The previous prime is 1370137429. The next prime is 1370137453. The reversal of 1370137440 is 447310731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1370137398 and 1370137407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16507639 + ... + 16507721.

It is an arithmetic number, because the mean of its divisors is an integer number (13812120).

Almost surely, 2^1370137440 is an apocalyptic number.

1370137440 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 1370137440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651927040).

1370137440 is an abundant number, since it is smaller than the sum of its proper divisors (3933716640).

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

1370137440 is an equidigital number, since it uses as much as digits as its factorization.

1370137440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 1370137440 is about 37015.3676194091. The cubic root of 1370137440 is about 1110.6776804868.

It can be divided in two parts, 137013 and 7440, that added together give a triangular number (144453 = T₅₃₇).

The spelling of 1370137440 in words is "one billion, three hundred seventy million, one hundred thirty-seven thousand, four hundred forty".