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148016012135040 = 273357192341163419
BaseRepresentation
bin100001101001111010101001…
…110100110000101010000000
3201102002012012101021200102000
4201221322221310300222000
5123400043243101310130
61242445341154424000
743114542523146630
oct4151725164605200
9642065171250360
10148016012135040
1143187269098535
12147265b2b92000
136478b0874937a
14287a02837a6c0
15121a382043260
hex869ea9d30a80

148016012135040 has 4096 divisors, whose sum is σ = 679868743680000. Its totient is φ = 29655837573120.

The previous prime is 148016012135023. The next prime is 148016012135041. The reversal of 148016012135040 is 40531210610841.

148016012135040 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 1 + 601 + 2 + 1 + 3 + 5 + 0 + 40 = 666.

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 = 148016012134986 and 148016012135004.

It is not an unprimeable number, because it can be changed into a prime (148016012135041) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 353260171951 + ... + 353260172369.

It is an arithmetic number, because the mean of its divisors is an integer number (165983580000).

Almost surely, 2148016012135040 is an apocalyptic number.

148016012135040 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 148016012135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339934371840000).

148016012135040 is an abundant number, since it is smaller than the sum of its proper divisors (531852731544960).

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

148016012135040 is a wasteful number, since it uses less digits than its factorization.

148016012135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 148016012135040 its reverse (40531210610841), we get a palindrome (188547222745881).

The spelling of 148016012135040 in words is "one hundred forty-eight trillion, sixteen billion, twelve million, one hundred thirty-five thousand, forty".