137583780197952 has 896 divisors, whose sum is σ = 437561063976960. Its totient is φ = 37662199644160.

The previous prime is 137583780197933. The next prime is 137583780198019. The reversal of 137583780197952 is 259791087385731.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 232013119768 + ... + 232013120360.

It is an arithmetic number, because the mean of its divisors is an integer number (488349401760).

Almost surely, 2^{137583780197952} is an apocalyptic number.

137583780197952 is a gapful number since it is divisible by the number (12) 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 137583780197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218780531988480).

137583780197952 is an abundant number, since it is smaller than the sum of its proper divisors (299977283779008).

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

137583780197952 is a wasteful number, since it uses less digits than its factorization.

137583780197952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 75.

The spelling of 137583780197952 in words is "one hundred thirty-seven trillion, five hundred eighty-three billion, seven hundred eighty million, one hundred ninety-seven thousand, nine hundred fifty-two".