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148115653920 = 25365132331137
BaseRepresentation
bin1000100111110001100…
…0011000010100100000
3112011022102201211000000
42021330120120110200
54411320101411140
6152013212300000
713462305166623
oct2117430302440
9464272654000
10148115653920
11578a7475043
1224857771600
1310c76069a90
1472513dddba
153cbd464a30
hex227c618520

148115653920 has 1344 divisors, whose sum is σ = 613027989504. Its totient is φ = 33502740480.

The previous prime is 148115653909. The next prime is 148115653997. The reversal of 148115653920 is 29356511841.

It is a happy number.

148115653920 is a `hidden beast` number, since 1 + 4 + 81 + 1 + 565 + 3 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×1481156539202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1081136092 + ... + 1081136228.

It is an arithmetic number, because the mean of its divisors is an integer number (456122016).

Almost surely, 2148115653920 is an apocalyptic number.

148115653920 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 148115653920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306513994752).

148115653920 is an abundant number, since it is smaller than the sum of its proper divisors (464912335584).

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

148115653920 is a wasteful number, since it uses less digits than its factorization.

148115653920 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 259200, while the sum is 45.

The spelling of 148115653920 in words is "one hundred forty-eight billion, one hundred fifteen million, six hundred fifty-three thousand, nine hundred twenty".