137453008 has 160 divisors (see below), whose sum is σ = 354263040. Its totient is φ = 50112000.

The previous prime is 137452993. The next prime is 137453023. The reversal of 137453008 is 800354731.

It is an interprime number because it is at equal distance from previous prime (137452993) and next prime (137453023).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2253298 + ... + 2253358.

It is an arithmetic number, because the mean of its divisors is an integer number (2214144).

Almost surely, 2^137453008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137453008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177131520).

137453008 is an abundant number, since it is smaller than the sum of its proper divisors (216810032).

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

137453008 is a wasteful number, since it uses less digits than its factorization.

137453008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 137453008 is about 11724.0354827167. The cubic root of 137453008 is about 516.0812523532.

The spelling of 137453008 in words is "one hundred thirty-seven million, four hundred fifty-three thousand, eight".