137722032 has 400 divisors, whose sum is σ = 518538240. Its totient is φ = 34338816.

The previous prime is 137722007. The next prime is 137722033. The reversal of 137722032 is 230227731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 137721987 and 137722005.

It is not an unprimeable number, because it can be changed into a prime (137722033) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2930233 + ... + 2930279.

Almost surely, 2^137722032 is an apocalyptic number.

137722032 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 137722032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120).

137722032 is an abundant number, since it is smaller than the sum of its proper divisors (380816208).

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

137722032 is a wasteful number, since it uses less digits than its factorization.

137722032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 137722032 is about 11735.5030569635. The cubic root of 137722032 is about 516.4177255591.

Adding to 137722032 its reverse (230227731), we get a palindrome (367949763).

It can be divided in two parts, 1377 and 22032, that multiplied together give a square (30338064 = 5508²).

The spelling of 137722032 in words is "one hundred thirty-seven million, seven hundred twenty-two thousand, thirty-two".