137745216 has 168 divisors, whose sum is σ = 456468480. Its totient is φ = 38900736.

The previous prime is 137745197. The next prime is 137745217. The reversal of 137745216 is 612547731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 (137745217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511930 + ... + 512198.

Almost surely, 2^137745216 is an apocalyptic number.

137745216 is a gapful number since it is divisible by the number (16) 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 137745216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228234240).

137745216 is an abundant number, since it is smaller than the sum of its proper divisors (318723264).

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

137745216 is a wasteful number, since it uses less digits than its factorization.

137745216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 137745216 is about 11736.4907872839. The cubic root of 137745216 is about 516.4467016946.

The spelling of 137745216 in words is "one hundred thirty-seven million, seven hundred forty-five thousand, two hundred sixteen".