137542483146240 has 960 divisors, whose sum is σ = 543276322947072. Its totient is φ = 31954364006400.

The previous prime is 137542483146199. The next prime is 137542483146371. The reversal of 137542483146240 is 42641384245731.

137542483146240 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 4 + 2 + 4 + 8 + 3 + 1 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×137542483146240² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279021585 + ... + 279514095.

Almost surely, 2^{137542483146240} is an apocalyptic number.

137542483146240 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 137542483146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271638161473536).

137542483146240 is an abundant number, since it is smaller than the sum of its proper divisors (405733839800832).

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

137542483146240 is a wasteful number, since it uses less digits than its factorization.

137542483146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492611 (or 492592 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 137542483146240 in words is "one hundred thirty-seven trillion, five hundred forty-two billion, four hundred eighty-three million, one hundred forty-six thousand, two hundred forty".