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137451132 = 223271341957
BaseRepresentation
bin10000011000101…
…01011001111100
3100120122020111200
420030111121330
5240141414012
621350015500
73256213110
oct1014253174
9316566450
10137451132
1170651085
123a047590
1322627140
141437d740
15c1013dc
hex831567c

137451132 has 72 divisors (see below), whose sum is σ = 427635936. Its totient is φ = 36249984.

The previous prime is 137451121. The next prime is 137451157. The reversal of 137451132 is 231154731.

It is a junction number, because it is equal to n+sod(n) for n = 137451096 and 137451105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17703 + ... + 24254.

It is an arithmetic number, because the mean of its divisors is an integer number (5939388).

Almost surely, 2137451132 is an apocalyptic number.

137451132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137451132 is an abundant number, since it is smaller than the sum of its proper divisors (290184804).

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

137451132 is a wasteful number, since it uses less digits than its factorization.

137451132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41987 (or 41982 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 137451132 is about 11723.9554758622. The cubic root of 137451132 is about 516.0789044651.

The spelling of 137451132 in words is "one hundred thirty-seven million, four hundred fifty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 41957 83914 125871 167828 251742 293699 377613 503484 545441 587398 755226 881097 1090882 1174796 1510452 1636323 1762194 2181764 2643291 3272646 3524388 3818087 4908969 5286582 6545292 7636174 9817938 10573164 11454261 15272348 19635876 22908522 34362783 45817044 68725566 137451132