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137631990 = 2355386561
BaseRepresentation
bin10000011010000…
…01100011110110
3100120222102121010
420031001203312
5240213210430
621353533050
73260565306
oct1015014366
9316872533
10137631990
1170764a51
123a114186
132268b562
14143c9606
15c139cb0
hex83418f6

137631990 has 32 divisors (see below), whose sum is σ = 336553056. Its totient is φ = 36008960.

The previous prime is 137631961. The next prime is 137631997. The reversal of 137631990 is 99136731.

137631990 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137631997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41691 + ... + 44870.

It is an arithmetic number, because the mean of its divisors is an integer number (10517283).

Almost surely, 2137631990 is an apocalyptic number.

137631990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137631990 is an abundant number, since it is smaller than the sum of its proper divisors (198921066).

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

137631990 is a wasteful number, since it uses less digits than its factorization.

137631990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86624.

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 137631990 is about 11731.6661220817. Note that the first 3 decimals coincide. The cubic root of 137631990 is about 516.3051572176.

It can be divided in two parts, 13763 and 1990, that added together give a triangular number (15753 = T177).

The spelling of 137631990 in words is "one hundred thirty-seven million, six hundred thirty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1590 86561 173122 259683 432805 519366 865610 1298415 2596830 4587733 9175466 13763199 22938665 27526398 45877330 68815995 137631990