137135472 has 80 divisors (see below), whose sum is σ = 366405120. Its totient is φ = 44171776.

The previous prime is 137135429. The next prime is 137135473. The reversal of 137135472 is 274531731.

It is a super-2 number, since 2×137135472² = 37612275361325568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137135473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200443 + ... + 201125.

It is an arithmetic number, because the mean of its divisors is an integer number (4580064).

Almost surely, 2^137135472 is an apocalyptic number.

137135472 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 137135472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183202560).

137135472 is an abundant number, since it is smaller than the sum of its proper divisors (229269648).

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

137135472 is a wasteful number, since it uses less digits than its factorization.

137135472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 137135472 is about 11710.4855578238. The cubic root of 137135472 is about 515.6835389039.

The spelling of 137135472 in words is "one hundred thirty-seven million, one hundred thirty-five thousand, four hundred seventy-two".