137201370552 has 48 divisors (see below), whose sum is σ = 393445110240. Its totient is φ = 43043566848.

The previous prime is 137201370533. The next prime is 137201370557. The reversal of 137201370552 is 255073102731.

It is a happy number.

137201370552 is a `hidden beast` number, since 1 + 3 + 7 + 20 + 13 + 70 + 552 = 666.

It is a super-4 number, since 4×137201370552⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137201370557) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 56045088 + ... + 56047535.

It is an arithmetic number, because the mean of its divisors is an integer number (8196773130).

Almost surely, 2^137201370552 is an apocalyptic number.

137201370552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137201370552 is an abundant number, since it is smaller than the sum of its proper divisors (256243739688).

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

137201370552 is a wasteful number, since it uses less digits than its factorization.

137201370552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112092652 (or 112092645 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 137201370552 in words is "one hundred thirty-seven billion, two hundred one million, three hundred seventy thousand, five hundred fifty-two".