137451400000 has 168 divisors, whose sum is σ = 342895912632. Its totient is φ = 54662400000.

The previous prime is 137451399977. The next prime is 137451400001. The reversal of 137451400000 is 4154731.

It can be written as a sum of positive squares in 12 ways, for example, as 88765860096 + 48685539904 = 297936^2 + 220648^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137451400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36198102 + ... + 36201898.

It is an arithmetic number, because the mean of its divisors is an integer number (2041047099).

Almost surely, 2^137451400000 is an apocalyptic number.

137451400000 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 137451400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171447956316).

137451400000 is an abundant number, since it is smaller than the sum of its proper divisors (205444512632).

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

137451400000 is an frugal number, since it uses more digits than its factorization.

137451400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

Adding to 137451400000 its reverse (4154731), we get a palindrome (137455554731).

The spelling of 137451400000 in words is "one hundred thirty-seven billion, four hundred fifty-one million, four hundred thousand".