Search a number
-
+
151374132 = 223273132341
BaseRepresentation
bin10010000010111…
…00100100110100
3101112211121021100
421001130210310
5302222433012
623004250100
73515442000
oct1101344464
9345747240
10151374132
11784a0698
1242840930
13254904c0
1416165700
15d4518dc
hex905c934

151374132 has 288 divisors, whose sum is σ = 513676800. Its totient is φ = 37255680.

The previous prime is 151374131. The next prime is 151374133. The reversal of 151374132 is 231473151.

It is an interprime number because it is at equal distance from previous prime (151374131) and next prime (151374133).

It is a junction number, because it is equal to n+sod(n) for n = 151374096 and 151374105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151374131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3692032 + ... + 3692072.

It is an arithmetic number, because the mean of its divisors is an integer number (1783600).

Almost surely, 2151374132 is an apocalyptic number.

151374132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151374132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256838400).

151374132 is an abundant number, since it is smaller than the sum of its proper divisors (362302668).

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

151374132 is a wasteful number, since it uses less digits than its factorization.

151374132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 151374132 is about 12303.4195246687. The cubic root of 151374132 is about 532.9468364735.

The spelling of 151374132 in words is "one hundred fifty-one million, three hundred seventy-four thousand, one hundred thirty-two".