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148142839680 = 2733511312811
BaseRepresentation
bin1000100111111000000…
…0000101011110000000
3112011101022212222212000
42021332000011132000
54411344031332210
6152020023104000
713463055234453
oct2117600053600
9464338788760
10148142839680
1157910853110
12248648a2000
1310c7b897b24
147254c7949a
153cc0a34ac0
hex227e005780

148142839680 has 768 divisors, whose sum is σ = 592158470400. Its totient is φ = 34712064000.

The previous prime is 148142839639. The next prime is 148142839681. The reversal of 148142839680 is 86938241841.

It is a happy number.

148142839680 is a `hidden beast` number, since 1 + 481 + 4 + 2 + 83 + 9 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148142839681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182666475 + ... + 182667285.

It is an arithmetic number, because the mean of its divisors is an integer number (771039675).

Almost surely, 2148142839680 is an apocalyptic number.

148142839680 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 148142839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296079235200).

148142839680 is an abundant number, since it is smaller than the sum of its proper divisors (444015630720).

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

148142839680 is a wasteful number, since it uses less digits than its factorization.

148142839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 148142839680 in words is "one hundred forty-eight billion, one hundred forty-two million, eight hundred thirty-nine thousand, six hundred eighty".