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133234143840 = 253357219157211
BaseRepresentation
bin111110000010101011…
…1111011001001100000
3110201220022112202221000
41330011113323021200
54140330420100330
6141112410032000
712424444352100
oct1740527731140
9421808482830
10133234143840
1151560223286
12219a3a18600
13c743c39505
14663cc21200
1536ebc58560
hex1f055fb260

133234143840 has 1152 divisors, whose sum is σ = 577363852800. Its totient is φ = 28531077120.

The previous prime is 133234143829. The next prime is 133234143851. The reversal of 133234143840 is 48341432331.

133234143840 is a `hidden beast` number, since 1 + 33 + 234 + 14 + 384 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133234143829) and next prime (133234143851).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133234143795 and 133234143804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 631441335 + ... + 631441545.

It is an arithmetic number, because the mean of its divisors is an integer number (501183900).

Almost surely, 2133234143840 is an apocalyptic number.

133234143840 is a gapful number since it is divisible by the number (10) 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 133234143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288681926400).

133234143840 is an abundant number, since it is smaller than the sum of its proper divisors (444129708960).

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

133234143840 is a wasteful number, since it uses less digits than its factorization.

133234143840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 133234143840 in words is "one hundred thirty-three billion, two hundred thirty-four million, one hundred forty-three thousand, eight hundred forty".