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145122978 = 237111373331
BaseRepresentation
bin10001010011001…
…10011010100010
3101010002000022010
420221212122202
5244122413403
622222253350
73411345030
oct1051463242
9333060263
10145122978
1174a11050
1240727256
13240b20b0
14153b9550
15cb19603
hex8a666a2

145122978 has 128 divisors (see below), whose sum is σ = 396232704. Its totient is φ = 34214400.

The previous prime is 145122941. The next prime is 145123019. The reversal of 145122978 is 879221541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438273 + ... + 438603.

It is an arithmetic number, because the mean of its divisors is an integer number (3095568).

Almost surely, 2145122978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145122978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198116352).

145122978 is an abundant number, since it is smaller than the sum of its proper divisors (251109726).

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

145122978 is a wasteful number, since it uses less digits than its factorization.

145122978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440.

The product of its digits is 40320, while the sum is 39.

The square root of 145122978 is about 12046.6998800501. The cubic root of 145122978 is about 525.5072684366.

The spelling of 145122978 in words is "one hundred forty-five million, one hundred twenty-two thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 73 77 78 91 143 146 154 182 219 231 273 286 331 429 438 462 511 546 662 803 858 949 993 1001 1022 1533 1606 1898 1986 2002 2317 2409 2847 3003 3066 3641 4303 4634 4818 5621 5694 6006 6643 6951 7282 8606 10439 10923 11242 12909 13286 13902 16863 19929 20878 21846 24163 25487 25818 30121 31317 33726 39858 47333 48326 50974 60242 62634 72489 73073 76461 90363 94666 141999 144978 146146 152922 169141 180726 219219 265793 283998 314119 331331 338282 438438 507423 531586 628238 662662 797379 942357 993993 1014846 1594758 1860551 1884714 1987986 2198833 3455309 3721102 4397666 5581653 6596499 6910618 10365927 11163306 13192998 20731854 24187163 48374326 72561489 145122978