137242947456 has 576 divisors, whose sum is σ = 451699248000. Its totient is φ = 41361103872.

The previous prime is 137242947353. The next prime is 137242947463. The reversal of 137242947456 is 654749242731.

137242947456 is a `hidden beast` number, since 13 + 72 + 42 + 9 + 474 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 312626085 + ... + 312626523.

Almost surely, 2^137242947456 is an apocalyptic number.

137242947456 is a gapful number since it is divisible by the number (16) 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 137242947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225849624000).

137242947456 is an abundant number, since it is smaller than the sum of its proper divisors (314456300544).

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

137242947456 is an equidigital number, since it uses as much as digits as its factorization.

137242947456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 486 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 137242947456 in words is "one hundred thirty-seven billion, two hundred forty-two million, nine hundred forty-seven thousand, four hundred fifty-six".