137643450 has 144 divisors (see below), whose sum is σ = 404911584. Its totient is φ = 30844800.

The previous prime is 137643439. The next prime is 137643461. The reversal of 137643450 is 54346731.

It is an interprime number because it is at equal distance from previous prime (137643439) and next prime (137643461).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 448197 + ... + 448503.

It is an arithmetic number, because the mean of its divisors is an integer number (2811886).

Almost surely, 2^137643450 is an apocalyptic number.

137643450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137643450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202455792).

137643450 is an abundant number, since it is smaller than the sum of its proper divisors (267268134).

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

137643450 is a wasteful number, since it uses less digits than its factorization.

137643450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 137643450 is about 11732.1545335884. The cubic root of 137643450 is about 516.3194869600.

The spelling of 137643450 in words is "one hundred thirty-seven million, six hundred forty-three thousand, four hundred fifty".