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132153464514150 = 23252436829636409
BaseRepresentation
bin11110000011000101100000…
…010011101110011001100110
3122022220202012011102012120100
4132003011200103232121212
5114310200243403423100
61145022244040044530
736556526022103242
oct3603054023563146
9568822164365510
10132153464514150
1139120a735369a2
12129a4287a63746
13589803108c381
14248c3945a1422
1510429353a3400
hex7831604ee666

132153464514150 has 72 divisors (see below), whose sum is σ = 363309338466360. Its totient is φ = 34421367496320.

The previous prime is 132153464514109. The next prime is 132153464514151. The reversal of 132153464514150 is 51415464351231.

132153464514150 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 3 + 46 + 451 + 4 + 150 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132153464514096 and 132153464514105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132153464514151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3414798855 + ... + 3414837554.

It is an arithmetic number, because the mean of its divisors is an integer number (5045963034255).

Almost surely, 2132153464514150 is an apocalyptic number.

132153464514150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132153464514150 is an abundant number, since it is smaller than the sum of its proper divisors (231155873952210).

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

132153464514150 is a wasteful number, since it uses less digits than its factorization.

132153464514150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6829636470 (or 6829636462 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 132153464514150 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred sixty-four million, five hundred fourteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 129 150 215 225 258 387 430 450 645 774 1075 1290 1935 2150 3225 3870 6450 9675 19350 6829636409 13659272818 20488909227 34148182045 40977818454 61466727681 68296364090 102444546135 122933455362 170740910225 204889092270 293674365587 307333638405 341481820450 512222730675 587348731174 614667276810 881023096761 1024445461350 1468371827935 1536668192025 1762046193522 2643069290283 2936743655870 3073336384050 4405115483805 5286138580566 7341859139675 8810230967610 13215346451415 14683718279350 22025577419025 26430692902830 44051154838050 66076732257075 132153464514150