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137207772 = 223213293179
BaseRepresentation
bin10000010110110…
…01111111011100
3100120011212200100
420023121333130
5240111122042
621340501100
73254150442
oct1013317734
9316155610
10137207772
11704a5259
1239b4a790
1322570440
1414318b92
15c0a424c
hex82d9fdc

137207772 has 36 divisors (see below), whose sum is σ = 373511320. Its totient is φ = 42217632.

The previous prime is 137207743. The next prime is 137207773. The reversal of 137207772 is 277702731.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137207773) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146122 + ... + 147057.

Almost surely, 2137207772 is an apocalyptic number.

137207772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137207772 is an abundant number, since it is smaller than the sum of its proper divisors (236303548).

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

137207772 is a wasteful number, since it uses less digits than its factorization.

137207772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293202 (or 293197 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 137207772 is about 11713.5721280914. The cubic root of 137207772 is about 515.7741485009.

The spelling of 137207772 in words is "one hundred thirty-seven million, two hundred seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 293179 586358 879537 1172716 1759074 2638611 3518148 3811327 5277222 7622654 10554444 11433981 15245308 22867962 34301943 45735924 68603886 137207772