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137481400 = 23527283347
BaseRepresentation
bin10000011000111…
…00110010111000
3100120200210000201
420030130302320
5240143401100
621350411544
73256400260
oct1014346270
9316623021
10137481400
11706718a1
123a060bb4
1322637b54
141438a7a0
15c10a36a
hex831ccb8

137481400 has 96 divisors (see below), whose sum is σ = 367655040. Its totient is φ = 46834560.

The previous prime is 137481371. The next prime is 137481403. The reversal of 137481400 is 4184731.

It is a super-2 number, since 2×1374814002 = 37802270691920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137481403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396027 + ... + 396373.

It is an arithmetic number, because the mean of its divisors is an integer number (3829740).

Almost surely, 2137481400 is an apocalyptic number.

137481400 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 137481400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183827520).

137481400 is an abundant number, since it is smaller than the sum of its proper divisors (230173640).

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

137481400 is a wasteful number, since it uses less digits than its factorization.

137481400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 137481400 is about 11725.2462660705. The cubic root of 137481400 is about 516.1167834543.

The spelling of 137481400 in words is "one hundred thirty-seven million, four hundred eighty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 283 347 350 566 694 700 1132 1388 1400 1415 1735 1981 2264 2429 2776 2830 3470 3962 4858 5660 6940 7075 7924 8675 9716 9905 11320 12145 13880 14150 15848 17350 19432 19810 24290 28300 34700 39620 48580 49525 56600 60725 69400 79240 97160 98201 99050 121450 196402 198100 242900 392804 396200 485800 491005 687407 785608 982010 1374814 1964020 2455025 2749628 3437035 3928040 4910050 5499256 6874070 9820100 13748140 17185175 19640200 27496280 34370350 68740700 137481400