137945952 has 72 divisors (see below), whose sum is σ = 393513120. Its totient is φ = 45838080.

The previous prime is 137945923. The next prime is 137945981. The reversal of 137945952 is 259549731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137945923) and next prime (137945981).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 137945898 and 137945907.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 132249 + ... + 133287.

It is an arithmetic number, because the mean of its divisors is an integer number (5465460).

Almost surely, 2^137945952 is an apocalyptic number.

137945952 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 137945952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196756560).

137945952 is an abundant number, since it is smaller than the sum of its proper divisors (255567168).

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

137945952 is a wasteful number, since it uses less digits than its factorization.

137945952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1505 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 137945952 is about 11745.0394635352. The cubic root of 137945952 is about 516.6974523915.

The spelling of 137945952 in words is "one hundred thirty-seven million, nine hundred forty-five thousand, nine hundred fifty-two".