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152837211136 = 2101926432
BaseRepresentation
bin1000111001010111001…
…1101100010000000000
3112121111111011202212111
42032111303230100000
510001002311224021
6154113515505104
714020306600561
oct2162563542000
9477444152774
10152837211136
11598aa691945
1225754a58194
1311549307a0c
14757c500168
153e97c198e1
hex2395cec400

152837211136 has 99 divisors (see below), whose sum is σ = 322954029351. Its totient is φ = 72283981824.

The previous prime is 152837211103. The next prime is 152837211139. The reversal of 152837211136 is 631112738251.

The square root of 152837211136 is 390944.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (60480) is a multiple of the sum of its prime factors (1344).

It is not an unprimeable number, because it can be changed into a prime (152837211139) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 237693631 + ... + 237694273.

Almost surely, 2152837211136 is an apocalyptic number.

152837211136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

152837211136 is the 390944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152837211136

152837211136 is an abundant number, since it is smaller than the sum of its proper divisors (170116818215).

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

152837211136 is an frugal number, since it uses more digits than its factorization.

152837211136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 664 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

Adding to 152837211136 its reverse (631112738251), we get a palindrome (783949949387).

The spelling of 152837211136 in words is "one hundred fifty-two billion, eight hundred thirty-seven million, two hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 643 722 1024 1216 1286 1444 2432 2572 2888 4864 5144 5776 9728 10288 11552 12217 19456 20576 23104 24434 41152 46208 48868 82304 92416 97736 164608 184832 195472 232123 329216 369664 390944 413449 464246 658432 781888 826898 928492 1563776 1653796 1856984 3127552 3307592 3713968 6255104 6615184 7427936 7855531 12510208 13230368 14855872 15711062 26460736 29711744 31422124 52921472 59423488 62844248 105842944 118846976 125688496 149255089 211685888 237693952 251376992 298510178 423371776 502753984 597020356 1005507968 1194040712 2011015936 2388081424 4022031872 4776162848 8044063744 9552325696 19104651392 38209302784 76418605568 152837211136