137953452 has 192 divisors, whose sum is σ = 427750400. Its totient is φ = 33592320.

The previous prime is 137953447. The next prime is 137953457. The reversal of 137953452 is 254359731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137953447) and next prime (137953457).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (113400) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 137953452.

It is not an unprimeable number, because it can be changed into a prime (137953457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1265574 + ... + 1265682.

Almost surely, 2^137953452 is an apocalyptic number.

137953452 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 137953452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213875200).

137953452 is an abundant number, since it is smaller than the sum of its proper divisors (289796948).

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

137953452 is a wasteful number, since it uses less digits than its factorization.

137953452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 214 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 137953452 is about 11745.3587429248. The cubic root of 137953452 is about 516.7068163504.

The spelling of 137953452 in words is "one hundred thirty-seven million, nine hundred fifty-three thousand, four hundred fifty-two".