137001942 has 144 divisors (see below), whose sum is σ = 391390272. Its totient is φ = 35516880.

The previous prime is 137001941. The next prime is 137001959. The reversal of 137001942 is 249100731.

It is a super-2 number, since 2×137001942² = 37539064223542728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137001941) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 261693 + ... + 262215.

It is an arithmetic number, because the mean of its divisors is an integer number (2717988).

Almost surely, 2^137001942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137001942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195695136).

137001942 is an abundant number, since it is smaller than the sum of its proper divisors (254388330).

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

137001942 is a wasteful number, since it uses less digits than its factorization.

137001942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 137001942 is about 11704.7828685542. The cubic root of 137001942 is about 515.5161093695.

The spelling of 137001942 in words is "one hundred thirty-seven million, one thousand, nine hundred forty-two".