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132715240350 = 235271119619977
BaseRepresentation
bin111101110011001110…
…0011101101110011110
3110200120011010202011020
41323212130131232132
54133300100142400
6140545112105010
712405543633660
oct1734634355636
9420504122136
10132715240350
1151314325420
122187a095166
13c690596124
1465cdd48530
1536bb4092a0
hex1ee671db9e

132715240350 has 384 divisors, whose sum is σ = 433086566400. Its totient is φ = 26056857600.

The previous prime is 132715240309. The next prime is 132715240351. The reversal of 132715240350 is 53042517231.

It is a super-2 number, since 2×1327152403502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132715240351) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135839062 + ... + 135840038.

It is an arithmetic number, because the mean of its divisors is an integer number (1127829600).

Almost surely, 2132715240350 is an apocalyptic number.

132715240350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132715240350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216543283200).

132715240350 is an abundant number, since it is smaller than the sum of its proper divisors (300371326050).

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

132715240350 is a wasteful number, since it uses less digits than its factorization.

132715240350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

Adding to 132715240350 its reverse (53042517231), we get a palindrome (185757757581).

The spelling of 132715240350 in words is "one hundred thirty-two billion, seven hundred fifteen million, two hundred forty thousand, three hundred fifty".