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148091920704 = 26337213197397
BaseRepresentation
bin1000100111101011110…
…1110110000101000000
3112011020210002001011000
42021322331312011000
54411243012430304
6152011003452000
713461566361600
oct2117275660500
9464223061130
10148091920704
1157895034a12
122484b827000
1310c7117a360
14724c1c2c00
153cbb327939
hex227af76140

148091920704 has 1344 divisors, whose sum is σ = 587968953600. Its totient is φ = 36118462464.

The previous prime is 148091920693. The next prime is 148091920709. The reversal of 148091920704 is 407029190841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 148091920704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148091920709) 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, 1526720784 + ... + 1526720880.

It is an arithmetic number, because the mean of its divisors is an integer number (437476900).

Almost surely, 2148091920704 is an apocalyptic number.

148091920704 is a gapful number since it is divisible by the number (14) 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 148091920704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293984476800).

148091920704 is an abundant number, since it is smaller than the sum of its proper divisors (439877032896).

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

148091920704 is a wasteful number, since it uses less digits than its factorization.

148091920704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 148091920704 in words is "one hundred forty-eight billion, ninety-one million, nine hundred twenty thousand, seven hundred four".