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148137958590552 = 233276531195337657
BaseRepresentation
bin100001101011101100001110…
…011001100100100001011000
3201102111211222001001110220100
4201223230032121210201120
5123404043014344344202
61243021345542255400
743126420466004510
oct4153541631444130
9642454861043810
10148137958590552
1143223a56748477
1214746166727560
136487470c81258
142881cb6000840
15121d61cd3141c
hex86bb0e664858

148137958590552 has 192 divisors, whose sum is σ = 459275045935680. Its totient is φ = 42255656902656.

The previous prime is 148137958590551. The next prime is 148137958590563. The reversal of 148137958590552 is 255095859731841.

148137958590552 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 37 + 9 + 585 + 9 + 0 + 5 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148137958590551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3933856908 + ... + 3933894564.

It is an arithmetic number, because the mean of its divisors is an integer number (2392057530915).

Almost surely, 2148137958590552 is an apocalyptic number.

148137958590552 is a gapful number since it is divisible by the number (12) 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 148137958590552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229637522967840).

148137958590552 is an abundant number, since it is smaller than the sum of its proper divisors (311137087345128).

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

148137958590552 is a wasteful number, since it uses less digits than its factorization.

148137958590552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50282 (or 50275 counting only the distinct ones).

The product of its (nonzero) digits is 544320000, while the sum is 72.

The spelling of 148137958590552 in words is "one hundred forty-eight trillion, one hundred thirty-seven billion, nine hundred fifty-eight million, five hundred ninety thousand, five hundred fifty-two".