Search a number
-
+
137153040 = 2435571471
BaseRepresentation
bin10000010110011…
…00101000010000
3100120002002121020
420023030220100
5240102344130
621335355440
73253532043
oct1013145020
9316062536
10137153040
1170468122
1239b22b80
132255155b
1414302c5a
15c092e10
hex82cca10

137153040 has 40 divisors (see below), whose sum is σ = 425175168. Its totient is φ = 36574080.

The previous prime is 137153033. The next prime is 137153047. The reversal of 137153040 is 40351731.

It is an interprime number because it is at equal distance from previous prime (137153033) and next prime (137153047).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 137153040.

It is not an unprimeable number, because it can be changed into a prime (137153047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285496 + ... + 285975.

Almost surely, 2137153040 is an apocalyptic number.

137153040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137153040 is an abundant number, since it is smaller than the sum of its proper divisors (288022128).

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

137153040 is a wasteful number, since it uses less digits than its factorization.

137153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571487 (or 571481 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 137153040 is about 11711.2356307949. The cubic root of 137153040 is about 515.7055588365.

The spelling of 137153040 in words is "one hundred thirty-seven million, one hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 571471 1142942 1714413 2285884 2857355 3428826 4571768 5714710 6857652 8572065 9143536 11429420 13715304 17144130 22858840 27430608 34288260 45717680 68576520 137153040