137526854125000 has 112 divisors (see below), whose sum is σ = 322356745265220. Its totient is φ = 55005228000000.

The previous prime is 137526854124973. The next prime is 137526854125043. The reversal of 137526854125000 is 521458625731.

It can be written as a sum of positive squares in 14 ways, for example, as 106473629783236 + 31053224341764 = 10318606^2 + 5572542^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1386575410 + ... + 1386674590.

Almost surely, 2^{137526854125000} is an apocalyptic number.

137526854125000 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 137526854125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161178372632610).

137526854125000 is an abundant number, since it is smaller than the sum of its proper divisors (184829891140220).

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

137526854125000 is an frugal number, since it uses more digits than its factorization.

137526854125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110310 (or 110281 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

The spelling of 137526854125000 in words is "one hundred thirty-seven trillion, five hundred twenty-six billion, eight hundred fifty-four million, one hundred twenty-five thousand".