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137936077 is a prime number
BaseRepresentation
bin10000011100010…
…11110011001101
3100121112212201121
420032023303031
5240302423302
621404240541
73263302666
oct1016136315
9317485647
10137936077
1170952464
123a240151
1322766aa6
141446836d
15c199e37
hex838bccd

137936077 has 2 divisors, whose sum is σ = 137936078. Its totient is φ = 137936076.

The previous prime is 137936069. The next prime is 137936107. The reversal of 137936077 is 770639731.

137936077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137100681 + 835396 = 11709^2 + 914^2 .

It is a cyclic number.

It is not a de Polignac number, because 137936077 - 23 = 137936069 is a prime.

It is a super-2 number, since 2×1379360772 = 38052722676299858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137936017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68968038 + 68968039.

It is an arithmetic number, because the mean of its divisors is an integer number (68968039).

Almost surely, 2137936077 is an apocalyptic number.

It is an amenable number.

137936077 is a deficient number, since it is larger than the sum of its proper divisors (1).

137936077 is an equidigital number, since it uses as much as digits as its factorization.

137936077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 166698, while the sum is 43.

The square root of 137936077 is about 11744.6190657679. The cubic root of 137936077 is about 516.6851226613.

The spelling of 137936077 in words is "one hundred thirty-seven million, nine hundred thirty-six thousand, seventy-seven".