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151919955 = 38511421
BaseRepresentation
bin10010000111000…
…01110101010011
3101120212100000000
421003201311103
5302342414310
623024101043
73523204215
oct1103416523
9346770000
10151919955
1178833790
1242a64783
1325621a85
14162685b5
15d50d4c0
hex90e1d53

151919955 has 72 divisors (see below), whose sum is σ = 299008944. Its totient is φ = 73483200.

The previous prime is 151919941. The next prime is 151919959. The reversal of 151919955 is 559919151.

It is not a de Polignac number, because 151919955 - 27 = 151919827 is a prime.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 151919955.

It is not an unprimeable number, because it can be changed into a prime (151919959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 360645 + ... + 361065.

It is an arithmetic number, because the mean of its divisors is an integer number (4152902).

Almost surely, 2151919955 is an apocalyptic number.

151919955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

151919955 is a deficient number, since it is larger than the sum of its proper divisors (147088989).

151919955 is an frugal number, since it uses more digits than its factorization.

151919955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 440 counting only the distinct ones).

The product of its digits is 91125, while the sum is 45.

The square root of 151919955 is about 12325.5813250329. The cubic root of 151919955 is about 533.5866325013.

The spelling of 151919955 in words is "one hundred fifty-one million, nine hundred nineteen thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 421 495 729 891 1215 1263 1485 2105 2187 2673 3645 3789 4455 4631 6315 6561 8019 10935 11367 13365 13893 18945 23155 24057 32805 34101 40095 41679 56835 69465 72171 102303 120285 125037 170505 208395 306909 360855 375111 511515 625185 920727 1125333 1534545 1875555 2762181 3375999 4603635 5626665 10127997 13810905 16879995 30383991 50639985 151919955