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137007150 = 23527130483
BaseRepresentation
bin10000010101010…
…01000000101110
3100112210200110220
420022221000232
5240033212100
621332312210
73252353520
oct1012510056
9315720426
10137007150
1170378555
1239a72666
1322500027
14142a5a10
15c064aa0
hex82a902e

137007150 has 48 divisors (see below), whose sum is σ = 388320384. Its totient is φ = 31315680.

The previous prime is 137007133. The next prime is 137007179. The reversal of 137007150 is 51700731.

It is a super-2 number, since 2×1370071502 = 37541918302245000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137007150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64192 + ... + 66291.

It is an arithmetic number, because the mean of its divisors is an integer number (8090008).

Almost surely, 2137007150 is an apocalyptic number.

137007150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137007150 is an abundant number, since it is smaller than the sum of its proper divisors (251313234).

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

137007150 is a wasteful number, since it uses less digits than its factorization.

137007150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130505 (or 130500 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 24.

The square root of 137007150 is about 11705.0053395972. The cubic root of 137007150 is about 515.5226415735.

Adding to 137007150 its reverse (51700731), we get a palindrome (188707881).

The spelling of 137007150 in words is "one hundred thirty-seven million, seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 130483 260966 391449 652415 782898 913381 1304830 1826762 1957245 2740143 3262075 3914490 4566905 5480286 6524150 9133810 9786225 13700715 19572450 22834525 27401430 45669050 68503575 137007150