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137373880 = 2357539257
BaseRepresentation
bin10000011000000…
…10100010111000
3100120111022112111
420030002202320
5240131431010
621344222104
73255441640
oct1014024270
9316438474
10137373880
11705a9036
123a00a934
13225cac27
141435d520
15c0d858a
hex83028b8

137373880 has 64 divisors (see below), whose sum is σ = 359951040. Its totient is φ = 46205952.

The previous prime is 137373877. The next prime is 137373883. The reversal of 137373880 is 88373731.

It is an interprime number because it is at equal distance from previous prime (137373877) and next prime (137373883).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137373883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10212 + ... + 19468.

It is an arithmetic number, because the mean of its divisors is an integer number (5624235).

Almost surely, 2137373880 is an apocalyptic number.

137373880 is a gapful number since it is divisible by the number (10) 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 137373880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179975520).

137373880 is an abundant number, since it is smaller than the sum of its proper divisors (222577160).

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

137373880 is a wasteful number, since it uses less digits than its factorization.

137373880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9324 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 137373880 is about 11720.6603909507. The cubic root of 137373880 is about 515.9822019781.

The spelling of 137373880 in words is "one hundred thirty-seven million, three hundred seventy-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 9257 14840 18514 37028 46285 64799 74056 92570 129598 185140 259196 323995 370280 490621 518392 647990 981242 1295980 1962484 2453105 2591960 3434347 3924968 4906210 6868694 9812420 13737388 17171735 19624840 27474776 34343470 68686940 137373880